Snatch the verb, pursue, when you are chasing after someone — like paparazzi pursue a celebrity.
Pursue can be traced back to the Latin prosequi "to follow with hostile intent." Today, pursue is all about following though not necessarily with bad intent. A policeman pursues a criminal or a predator its prey when the one chases and tries to catch the other. If you are pursuing a career in journalism, you are working to achieve it. You pursue a strategy or a hobby if you do it consistently.
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v |
follow in or as if in pursuit
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2 |
v |
carry out or participate in an activity; be involved in
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