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to approach; to draw near; to be imminent
to press (someone for something); to urge; to compel
締め切りが迫っているので急いでいる。
I'm in a hurry because the deadline is approaching.
敵が城に迫っているとの知らせが来た。
News came that the enemy was approaching the castle.
記者は真実に迫る取材を粘り強く続けた。
The reporter continued interviewing to get to the truth.