The crackdown on online scams has delivered results — a relief for everyone.
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history
From the Ming play 《节侠记·诛佞》 by Xu Sanjie: "李秦授这厮,今日圣旨杀他,大快人心" — the imperial order to execute Li Qinshou delighted all hearts. Always carries the sense of villains being punished, rarely used for general good news.
usage
Use specifically when evildoers are punished or injustice is corrected — not for any ordinary happy outcome. Pairs well with 贪官/坏人/罪犯 + 被抓/被判.