She argued 'convincingly' [='persuasively'] that more money should be given to public schools.
There is no 'convincing' evidence to support his theory.
Your argument/story isn't very 'convincing'.
(..) - How's my favourite aunt? - Welcome, was the traffic terrible? Oh, no, not at all. Jordan, Come on in Thank God, aunt Emma didn't need too much convincing. Turned out the British weren't too different from the Swiss. Money talks and bullshit takes the bus. How do you say ''rathole'' in British? (..)2013 The Wolf of Wall Street