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general::
Phrase(s): (Do) have some more.
a polite invitation to take more of something, usually food or drink. • Bill: Wow, Mrs. Franklin, this scampi is great! Sally: Thank you, Bill. Do have some more. • Jane: What a lovely, light cake. Mary: Oh, have some more. Otherwise the boys will just wolf it down.
McGrawhill's American Idioms And Phrasal Verbs