If you follow through an action, plan, or idea or follow through with it, you continue doing or thinking about it until you have done everything possible.
The leadership has been unwilling to follow through the implications of these ideas...
I was trained to be an actress but I didn’t follow it through...
He decided to follow through 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