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Phrase(s): Never say die.
Prov. Do not give up. • Jill: I don’t think I can finish this project in time. Jane: Never say die. • Alan: It’s no use. I can’t make my checkbook balance. Jane: Never say die!
McGrawhill's American Idioms And Phrasal Verbs
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Don't ever give up, do not despair, as in This stage set doesn't look too promising, but never say die, it may still work out. This maxim today is often used ironically and deprecatingly, for something that has already failed. [Early 1800s]
American Heritage Idioms