Die, or come back from the dead? (4,2,3,5)

I believe the answer is:

give up the ghost

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'die' is the definition.
(I've seen this before)

I don't understand the remainder of the clue.

(Other definitions for give up the ghost that I've seen before include "Stop working" , "let someone else play Hamlet's father?" , "Pass on" , "be dispirited?" , "Decide to write for oneself" .)

I've seen this clue in The Times.

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