Might convince one that pouch is made of leather, reportedly (8)

I believe the answer is:

persuade

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'convince one that pouch is made of leather reportedly' is the definition.
'persuade' can be an answer for 'convince' (I've seen this before). I'm unsure of the remainder of the definition.

I don't understand how the remainder of the clue works.

Can you help me to learn more?

(Other definitions for persuade that I've seen before include "Convince or induce, maybe coax" , "Urge successfully" , "Cause (someone) to believe" , "Bring round" , "Convince by reasoning" .)

I've seen this clue in The Irish Times.

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