Answer the invitation to return (4,4)

I believe the answer is:

come back

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This clue could be a double definition.

'answer the invitation' is the first definition.
'come back' can be an answer for 'answer' (coming back is a kind of answering). I'm not sure about the 'the invitation' bit.

'return' is the second definition.
(I know that return can be written as come back)

'to' acts as a link.

Can you help me to learn more?

I've seen this clue in the Evening Standard.

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