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To filter a nested List that is contained within another java List, you can use the stream() method to create a stream of objects from the List, and then use the filter() method to apply a predicate to the stream. Here is an example code snippet:

List<List<Integer>> nestedList = new ArrayList<>();
nestedList.add(Arrays.asList(1, 2, 3));
nestedList.add(Arrays.asList(4, 5, 6));
nestedList.add(Arrays.asList(7, 8, 9));

List<List<Integer>> filteredList = nestedList.stream()
                .filter(list -> list.contains(3))
                .collect(Collectors.toList());

System.out.println(filteredList);

In this example, the nestedList contains three lists of integers. The filter() method is used to filter the nestedList based on whether any of the nested lists contain the integer value 3. The resulting filteredList will only contain the first nested list, which is [1, 2, 3].