code: def test_cut_with_duplicated_index_lowest_included():
      # GH 42185
      expected = Series(
          [Interval(-0.001, 2, closed="right")] * 3
          + [
              Interval(2, 4, closed="right"),
              Interval(-0.001, 2, closed="right"),
          ],
          index=[0, 1, 2, 3, 0],
          dtype="category",
      ).cat.as_ordered()
  
      ser = Series([0, 1, 2, 3, 0], index=[0, 1, 2, 3, 0])
      result = cut(ser, bins=[0, 2, 4], include_lowest=True)
      tm.assert_series_equal(result, expected)
  
imports: import numpy
  import pytest
  import pandas
  from pandas import Categorical, DataFrame, DatetimeIndex, Index, Interval, IntervalIndex, Series, TimedeltaIndex, Timestamp, cut, date_range, interval_range, isna, qcut, timedelta_range, to_datetime
  import pandas._testing
  from pandas.api.types import CategoricalDtype
  import pandas.core.reshape.tile
label_desc: Use image node_id 46 for calling a global function with example usage: test_cut_with_duplicated_index_lowest_included() without return types