Does she have the right to ask for divorce if her husband is having haraam relationships with other women?

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Check below answers in case you are looking for other related questions:
Can she ask her husband to use a condom to protect herself if he marries another wife?
Examples of acceptable reasons for asking one’s husband for khula’

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Related Answers:
The one who causes the divorce of a woman
Her husband’s family told her that he had divorced her but she did not hear that from her husband, and he did not write any divorce paper for her
She got divorced overseas and the divorce papers are not recognized by the official department
Can she ask her husband to use a condom to protect herself if he marries another wife?
Examples of acceptable reasons for asking one’s husband for khula’

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