If you ~ an action, plan, or idea or ~ with it, you continue doing or thinking about it until you have done everything possible.
The leadership has been unwilling to ~ the implications of these ideas...
I was trained to be an actress but I didn’t follow it through...
He decided to ~ with his original plan.
= pursue
PHRASAL VERB: V P n (not pron), V n P, V P with n/-ing, also V P, V P on n