Move rector with his persuasive speeches (9)

I believe the answer is:

rhetorics

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'persuasive speeches' is the definition.
'rhetorics' can be an answer for 'speeches' (rhetoric is a kind of speech). I'm unsure of the 'persuasive' bit.

'move rector with his' is the wordplay.
'move' is an anagram indicator (I've seen 'moved' mean this).
'with' says to put letters next to each other.
'rector'+'his'='rectorhis'
'rectorhis' with letters rearranged gives 'RHETORICS'.

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I've seen this clue in The Hindu.

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