diff --git a/.github/workflows/test.yml b/.github/workflows/test.yml
index 8abe853..4403685 100644
--- a/.github/workflows/test.yml
+++ b/.github/workflows/test.yml
@@ -10,7 +10,7 @@ jobs:
     runs-on: ubuntu-latest
     strategy:
       matrix:
-        python-version: ['3.6', '3.9', '3.10']
+        python-version: ['3.7', '3.8', '3.9', '3.10']
         xapian-version: ['1.4.18']
 
     steps:
@@ -41,13 +41,17 @@ jobs:
     runs-on: ubuntu-latest
     strategy:
       matrix:
-        python-version: ['3.6', '3.9']
-        django-version: ['2.2', '3.1', '3.2']
+        python-version: ['3.7', '3.8', '3.9', '3.10']
+        django-version: ['2.2', '3.2', '4.0']
         xapian-version: ['1.4.18']
-        include:
+        exclude:
           # Django added python 3.10 support in 3.2.9
           - python-version: '3.10'
-            django-version: '3.2'
+            django-version: '2.2'
+            xapian-version: '1.4.18'
+          # Django dropped python 3.7 support in 4.0
+          - python-version: '3.7'
+            django-version: '4.0'
             xapian-version: '1.4.18'
 
     steps:
diff --git a/CHANGELOG.rst b/CHANGELOG.rst
index 7cb2c55..47026bb 100644
--- a/CHANGELOG.rst
+++ b/CHANGELOG.rst
@@ -2,6 +2,11 @@
 xapian-haystack Changelog
 =========================
 
+Unreleased
+----------
+
+- Dropped support for Python 3.6.
+
 v3.0.1 (2021-11-12)
 -------------------
 
diff --git a/setup.py b/setup.py
index ccd924f..871773d 100644
--- a/setup.py
+++ b/setup.py
@@ -18,11 +18,11 @@ setup(
         'License :: OSI Approved :: GNU General Public License (GPL)',
         'Topic :: Internet :: WWW/HTTP :: Indexing/Search',
         'Framework :: Django',
+        'Programming Language :: Python :: 3 :: Only',
     ],
     author='Jorge C. Leitão',
     author_email='jorgecarleitao@gmail.com',
-    url='http://github.com/notanumber/xapian-haystack',
-    download_url='http://github.com/notanumber/xapian-haystack/tarball/2.1.0',
+    url='https://github.com/notanumber/xapian-haystack',
     license='GPL2',
     py_modules=['xapian_backend'],
     install_requires=[
diff --git a/tests/xapian_tests/tests/test_management_commands.py b/tests/xapian_tests/tests/test_management_commands.py
new file mode 100644
index 0000000..da1ed2a
--- /dev/null
+++ b/tests/xapian_tests/tests/test_management_commands.py
@@ -0,0 +1,84 @@
+from unittest import TestCase
+
+from django.core.management import call_command
+
+from ..models import BlogEntry
+from ..search_indexes import BlogSearchIndex
+from .test_backend import BackendFeaturesTestCase, HaystackBackendTestCase
+
+
+class ManagementCommandTestCase(HaystackBackendTestCase, TestCase):
+
+    NUM_BLOG_ENTRIES = 20
+
+    def get_index(self):
+        return BlogSearchIndex()
+
+    def setUp(self):
+        super().setUp()
+
+        self.sample_objs = []
+
+        for i in range(1, self.NUM_BLOG_ENTRIES + 1):
+            entry = BackendFeaturesTestCase.get_entry(i)
+            self.sample_objs.append(entry)
+            entry.save()
+
+    def verify_indexed_document_count(self, expected):
+        count = self.backend.document_count()
+        self.assertEqual(count, expected)
+
+    def verify_indexed_documents(self):
+        """Confirm that the documents in the search index match the database"""
+
+        count = self.backend.document_count()
+        self.assertEqual(count, self.NUM_BLOG_ENTRIES)
+
+        pks = set(BlogEntry.objects.values_list("pk", flat=True))
+        doc_ids = set()
+        database = self.backend._database()
+        for pk in pks:
+            xapian_doc = database.get_document(pk)
+            doc_id = xapian_doc.get_docid()
+            doc_ids.add(doc_id)
+        database.close()
+
+        self.assertSetEqual(pks, doc_ids)
+
+    def test_clear(self):
+        self.backend.update(self.index, BlogEntry.objects.all())
+        self.verify_indexed_documents()
+
+        call_command("clear_index", interactive=False, verbosity=0)
+        self.verify_indexed_document_count(0)
+
+    def test_update(self):
+        self.verify_indexed_document_count(0)
+
+        call_command("update_index", verbosity=0)
+        self.verify_indexed_documents()
+
+    def test_rebuild(self):
+        self.verify_indexed_document_count(0)
+
+        call_command("rebuild_index", interactive=False, verbosity=0)
+        self.verify_indexed_documents()
+
+    def test_remove(self):
+        self.verify_indexed_document_count(0)
+
+        call_command("update_index", verbosity=0)
+        self.verify_indexed_documents()
+
+        # Remove three instances.
+        three_pks = BlogEntry.objects.all()[:3].values_list("pk", flat=True)
+        BlogEntry.objects.filter(pk__in=three_pks).delete()
+        self.verify_indexed_document_count(self.NUM_BLOG_ENTRIES)
+
+        # Plain ``update_index`` doesn't fix it.
+        call_command("update_index", verbosity=0)
+        self.verify_indexed_document_count(self.NUM_BLOG_ENTRIES)
+
+        # … but remove does:
+        call_command("update_index", remove=True, verbosity=0)
+        self.verify_indexed_document_count(self.NUM_BLOG_ENTRIES - 3)
diff --git a/xapian_backend.py b/xapian_backend.py
index f48b002..f94e51a 100755
--- a/xapian_backend.py
+++ b/xapian_backend.py
@@ -152,13 +152,7 @@ class XapianSearchBackend(BaseSearchBackend):
     `SearchBackend` defines the Xapian search backend for use with the Haystack
     API for Django search.
 
-    It uses the Xapian Python bindings to interface with Xapian, and as
-    such is subject to this bug: <http://trac.xapian.org/ticket/364> when
-    Django is running with mod_python or mod_wsgi under Apache.
-
-    Until this issue has been fixed by Xapian, it is neccessary to set
-    `WSGIApplicationGroup to %{GLOBAL}` when using mod_wsgi, or
-    `PythonInterpreter main_interpreter` when using mod_python.
+    It uses the Xapian Python bindings to interface with Xapian.
 
     In order to use this backend, `PATH` must be included in the
     `connection_options`.  This should point to a location where you would your