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to chase; to run after; to pursue
subsequently; following that; (and) then
子供が蝶を追いかけて走っている。
A child is running chasing a butterfly.
少年は逃げた犬を全力で追いかけた。
The boy chased after the dog that had run away with all his might.
警察が容疑者を車で追いかけている。
The police are chasing the suspect by car.