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Chinese dictionary
v.live illicitly as husband and wife; (of a man and a woman) live illicitly together
事实婚姻不同于非法同居、非婚同居、姘居、重婚等相似的概念。
So it is different from a illicit cohabitation, a unmarried cohabitation, a cohabitation that the married man and woman live illicitly as husband and wife, a bigamy and so on similar concept.