Finish up is a commonly used phrase to express the completion of a task or project. However, there are many synonyms to this phrase that can add variety and interest to your language. One such synonym is "wrap up," which is often used in a business or professional context. Other synonyms include "complete," "conclude," "end," "finalize," "terminate," "close," "accomplish," and "finish off." Each of these synonyms has a slightly different connotation and can be used in different contexts. By using a variety of synonyms for "finish up," you can add a layer of nuance and depth to your language and improve your communication skills.