Nuisance to check vermin management (4,7)

I believe the answer is:

pest control

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'vermin management' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'nuisance to check' is the wordplay.
'nuisance' becomes 'pest' (I've seen this before).
'to' says to put letters next to each other.
'check' becomes 'control' (synonyms).
'pest'+'control'='PEST CONTROL'

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I've seen this clue in The Mirror.

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