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'.
(..) check in with you. How are you doing? Any news about Willa? No, and I'm fine. Doesn't sound very convincing. Well, I'm sorry, George, but I have enough to worry about without having to convince you how I'm feeling. - Another bad day? (..)2005 TvShow: Six Feet Under Title: Everyone's Waiting Season: 5 Episode 12