The verb pursue has 4 senses (first 4 from tagged texts)
1. (11) prosecute, engage, pursue -- (carry out or participate in an activity; be involved in; "She pursued many activities"; "They engaged in a discussion")
2. (9) pursue, follow -- (follow in or as if in pursuit; "The police car pursued the suspected attacker"; "Her bad deed followed her and haunted her dreams all her life")
3. (6) quest for, go after, quest after, pursue -- (go in search of or hunt for; "pursue a hobby")
4. (4) pursue, follow up on, act on -- (carry further or advance; "Can you act on this matter soon?")