Hunt
to chase wild animals or birds in order to catch or kill them for food, sport or to make money:
Lions sometimes hunt alone.
Whales are still being hunted and killed in the Arctic.
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chase
to run, drive, etc. after sb/sth in order to catch them:
My dog likes chasing rabbits.
The kids chased each other around the kitchen table.
He chased after the burglar but couldn’t catch him.