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One approach to eliminate repeated words in a given string is to split the string into words, create a set from the words, and then join the unique words back together into a string. Here is an example implementation in Python:

def eliminate_repeated_words(s):
    words = s.split()  # split the string into words
    unique_words = set(words)  # create a set of unique words
    return ' '.join(unique_words)  # join the unique words back into a string

For example, if we call eliminate_repeated_words with the string "the cat in the hat cat", it will return "cat in the hat the".