diff --git a/pandas/tests/tseries/offsets/test_offsets_properties.py b/pandas/tests/tseries/offsets/test_offsets_properties.py
index 716d3ff3faf1c..6e01c83c725bf 100644
--- a/pandas/tests/tseries/offsets/test_offsets_properties.py
+++ b/pandas/tests/tseries/offsets/test_offsets_properties.py
@@ -85,8 +85,6 @@
 # Offset-specific behaviour tests
 
 
-# Based on CI runs: Always passes on OSX, fails on Linux, sometimes on Windows
-@pytest.mark.xfail(strict=False, reason="inconsistent between OSs, Pythons")
 @given(gen_random_datetime, gen_yqm_offset)
 def test_on_offset_implementations(dt, offset):
     assume(not offset.normalize)
@@ -97,40 +95,38 @@ def test_on_offset_implementations(dt, offset):
     assert offset.is_on_offset(dt) == (compare == dt)
 
 
-@pytest.mark.xfail(
-    reason="res_v2 below is incorrect, needs to use the "
-    "commented-out version with tz_localize.  "
-    "But with that fix in place, hypothesis then "
-    "has errors in timezone generation."
-)
 @given(gen_yqm_offset, gen_date_range)
 def test_apply_index_implementations(offset, rng):
     # offset.apply_index(dti)[i] should match dti[i] + offset
-    assume(offset.n != 0)  # TODO: test for that case separately
 
-    # rng = pd.date_range(start='1/1/2000', periods=100000, freq='T')
+    # TODO: test for that case separately
+    assume(offset.n != 0)
+
     ser = pd.Series(rng)
 
     res = rng + offset
-    res_v2 = offset.apply_index(rng)
-    # res_v2 = offset.apply_index(rng.tz_localize(None)).tz_localize(rng.tz)
+    res_v2 = offset.apply_index(rng.tz_localize(None)).tz_localize(rng.tz)
     assert (res == res_v2).all()
 
+    # apply_index is only for indexes, not series, so no res2_v2
     assert res[0] == rng[0] + offset
     assert res[-1] == rng[-1] + offset
     res2 = ser + offset
-    # apply_index is only for indexes, not series, so no res2_v2
+
+    # TODO: Check randomly assorted entries, not just first/last
     assert res2.iloc[0] == ser.iloc[0] + offset
     assert res2.iloc[-1] == ser.iloc[-1] + offset
-    # TODO: Check randomly assorted entries, not just first/last
 
 
 @pytest.mark.xfail  # TODO: reason?
 @given(gen_yqm_offset)
 def test_shift_across_dst(offset):
-    # GH#18319 check that 1) timezone is correctly normalized and
+    # GH#18319
+    # check that:
+    # 1) timezone is correctly normalized and
     # 2) that hour is not incorrectly changed by this normalization
     # Note that dti includes a transition across DST boundary
+
     dti = pd.date_range(
         start="2017-10-30 12:00:00", end="2017-11-06", freq="D", tz="US/Eastern"
     )