Proceeds to influence the issue (5,2)

I believe the answer is:

moves on

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'proceeds' is the definition.
The definition and answer can be both related to change as well as being verbs in their -s form.
Perhaps you can see a link between them that I can't see?

'influence the issue' is the wordplay.
'influence' becomes 'move' (I can't explain this - if you can you should believe this answer much more).
'the issue' becomes 'son' (issue can mean someone's offspring).
'move'+'son'='MOVES ON'

'to' acts as a link.

Can you help me to learn more?

I've seen this clue in the Sydney Morning Herald.

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