Equally convinced you’ll find out (9)

I believe the answer is:

ascertain

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'find out' is the definition.
(I know that find out can be written as ascertain)

'equally convinced' is the wordplay.
'equally' becomes 'as' (synonyms).
'convinced' becomes 'certain' (similar in meaning).
'as'+'certain'='ASCERTAIN'

'you'll' acts as a link.
This may not be right. It may belong to another bit of the clue.

Can you help me to learn more?

(Other definitions for ascertain that I've seen before include "Find out for sure, determine" , "Learn" , "Verify" , "Find out - make sure" , "Establish (the facts)" .)

I've seen this clue in the Evening Standard.

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