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The word "自暴自弃" is formed by the concatenation of two verb-object phrases, each beginning with the character 自 (self): 自暴 (self-harm) and 自弃 (self-abandon), creating a compound that denotes the act of yielding to despair by mistreating and relinquishing oneself.

Word Definition - 自暴自弃

zì bào zì qì to abandon oneself to despair; to give up and stop bothering