Tidy up cult, deter change (9)

I believe the answer is:

declutter

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'tidy up' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'cult deter change' is the wordplay.
'change' indicates an anagram.
'cult'+'deter'='cultdeter'
'cultdeter' with letters rearranged gives 'DECLUTTER'.

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I've seen this clue in The Mirror.

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