Praise insincerely, showing less depth (7)

I believe the answer is:

flatter

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'praise insincerely' is the definition.
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(Other definitions for flatter that I've seen before include "Offer insincere compliments, butter up" , "Over-praise" , "Compliment dishonestly" , "Lavish compliments on (someone)" , "Less hilly; show to advantage" .)

I've seen this clue in The Sun.

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