Notice bad habit invites counselling (6)

I believe the answer is:

advice

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

'notice bad habit' is the wordplay.
'notice' becomes 'ad' (short for advert).
'bad habit' becomes 'vice' (a sin or weakness).
'ad'+'vice'='ADVICE'

'invites' is the link.
This may not be right. It may be part of another bit of the clue.

Can you help me to learn more?

(Other definitions for advice that I've seen before include "Proposal for an appropriate course of action" , "Counselling" , "What lawyer offers" , "Recommendation for a course of action" , "Opinion offered as to future action" .)

I've seen this clue in The Sun.

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