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'.
(..) Oh, okay. They're here. ls everyone ready? You guys got it? Okay. There they are! Sorry we're late. Somebody took a little convincing. Yup. I really didn't want to come, but Brad insisted. Oh, you big, old, fat stick in the mud! Come on in, you guys. - They're here, everybody! (..)2009 TvShow: It's Always Sunny in Philadelphia Title: The Waitress Is Getting Married Season: 5 Episode 5