die off

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That type of horse died off before humans appeared.(W.Magnuson,Eng.Idioms)

They make millions of viruses, before they too die off. (BNC)

If the slick persisted long enough, it could shut out sunlight to an extent that the phytoplankton, which depend on photosynthesis, would die off, thereby threatening the survival of all fauna higher up the food chain. (BNC)

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