To die out or become extinct (e.g. a custom, species, tradition).
あの地方の古い祭りは最近になってついに絶えた。
That region's old festival finally died out recently.
この島では昔からの技術が世代交代で絶えかけている。
On this island, traditional techniques are on the verge of dying out with generation changes.
その魚は乱獲でやがて絶えてしまった。
That fish species eventually became extinct due to overfishing.
To cease or be cut off (e.g. sound, communication); to stop being continuous.
突然、話し声が絶えてしまった。
Suddenly, the voices fell silent.
台風の影響で船の便が絶えた。
Boat services were suspended because of the typhoon.
連絡が絶えてからもう一年になる。
It's been a year since we've had any contact.