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The process of iterating through a list that has been filtered involves the following steps:

1. Create a new list that will hold the filtered elements.
2. Apply the filter function to the original list to remove the elements that don't meet the filter condition.
3. Iterate through the filtered list using a loop or list comprehension.
4. Perform the desired operations on each element of the filtered list.

Example code in Python:

originallist = [1, 2, 3, 4, 5] filteredlist = list(filter(lambda x: x % 2 == 0, original_list))

for number in filtered_list: print(number * 2)

This code creates a new list called filteredlist that only contains the even numbers from the originallist. Then it iterates through the filtered_list and prints each number multiplied by 2.