Originally Posted by JapanAlex01
The use of commas is a normal way of adding a word in after-the-fact. I don't know which schools you guys went to, but they're probably the wrong ones.
You aren't jointly using "after-the-fact" to modify anything, ergo the hyphens are unnecessary and wrong. Just like your subordinate clause for "therefore."
But seriously though, how far along are you in uni?