A chap gets old, but copes somehow (7)

I believe the answer is:

manages

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'copes somehow' is the definition.
'manages' can be an answer for 'copes' ('manage' can be a synonym of 'cope'). I'm unsure of the 'somehow' bit.

'a chap gets old' is the wordplay.
'a chap' becomes 'man' (chap can mean a man).
'gets old' becomes 'ages' ('age' can be a synonym of 'get old').
'man'+'ages'='MANAGES'

'but' acts as a link.

Can you help me to learn more?

I've seen this clue in the Evening Standard.

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