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'.
(..) sword! Where can I find it? According to legend it is kept between the heavens and the earth. This means on top of the mountain Sounds convincing, My Lord... How long will it take to the summit The journey is arduous and dangerous?. We need at least ten days, I'm afraid. This is not a good plan (..)2011 The Dragon Warrior