pursue

(verb) carry out or participate in an activity; be involved in. Synonyms: prosecute, engage. Examples: "She pursued many activities." "They engaged in a discussion."

(verb) follow in or as if in pursuit. Synonyms: follow. Examples: "The police car pursued the suspected attacker." "Her bad deed followed her and haunted her dreams all her life."

(verb) go in search of or hunt for. Synonyms: quest for, go after, quest after. Example: "Pursue a hobby."

(verb) carry further or advance. Synonyms: follow up on, act on. Example: "Can you act on this matter soon?."