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"You can run, but you can't hide" is an old saying that is attributed to the US heavyweight boxer Joe Louis, spoken on 19 June 1946.
Joe Louis and Billy Conn were about to face each other in a title fight when Louis declared the famous phrase.
Ayto, J., & Crofton, I. (Eds.). (2011). You can run but you can't hide. In Brewer's Dictionary of Modern Phrase & Fable. Chambers Harrap Publishers.