noun
a signal or action that gives permission or approval to do something
verb
to formally approve or authorize something, especially by signing a document
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I will need you to sign off on the final version of the report before we can submit it.
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Hey, can you just sign off on this document for me real quick?
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Just give me the green light and I'll sign off on it.
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She decided to finally sign off on her relationship with him and move on.