pursue

1. VERB

If you pursue an activity, interest, or plan, you carry it out or follow it.[FORMAL]

• He said Japan would continue to pursue the policies laid down at the London summit.
• She had come to England to pursue an acting career.

2. VERB

If you pursue a particular aim or result, you make efforts to achieve it, often over a long period of time.[FORMAL]

• Mr. Menendez has aggressively pursued new business.
  

3. VERB

If you pursue a particular topic, you try to find out more about it by asking questions. [FORMAL]

• If your original request is denied, don't be afraid to pursue the matter.  
• = follow up,   ≠ drop   

4. VERB

If you pursue a person, vehicle, or animal, you follow them, usually in order to catch them. [FORMAL]

• She pursued the man who had stolen a woman's bag.
  

... Cobuild