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to die out; to peter out; to become extinct
to cease; to be stopped; to be discontinued; to be cut off
伝統芸能が絶えてしまう危機にある。
Traditional performing arts are in danger of dying out.
この地方では古い方言が絶えつつある。
The old dialect is dying out in this region.
笑い声の絶えない温かい家庭を築きたい。
I want to build a warm home where laughter never ceases.