Authority with no pressure to bring to bear (5)

I believe the answer is:

exert

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'bring to bear' is the definition.
(I've seen this before)

I can't explain the remainder of the clue.

(Other definitions for exert that I've seen before include "Bring into operation" , "Exercise, wield" , "Bring into use, apply" , "Apply (pressure)" , "Bring into play, wield" .)

I've seen this clue in The Daily Express.

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