Is the marriage valid if a Muslim resident in Dar al-Islam marries a free non-Muslim woman (Harbiyyah) from the People of the Book?

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The marriage is valid. The supporting evidence is the generality of the verse concerning permissible marriage: {And lawful to you are believing and chaste women among those who were given the Scripture before you} (Quran 5:5). Moreover, if such a woman is permitted to marry a Muslim when she is in Dar al-Islam, her marriage is permitted even when she is in Dar al-Harb, analogous to a Muslim woman.