It wasn't 'clear' to me until I read a modern translation that said HAS two wives.
Going from experience, ELSIE 'have' two wives - but they were not a the same time.
(They was BOTH loved; but life (and our pride) had a bit of conflict ;^)
The preceding verses:
10 When you go to war against your enemies and the Lord your God delivers them into your hands and you take captives, 11 if you notice among the captives a beautiful woman and are attracted to her, you may take her as your wife. 12 Bring her into your home and have her shave her head, trim her nails 13 and put aside the clothes she was wearing when captured. After she has lived in your house and mourned her father and mother for a full month, then you may go to her and be her husband and she shall be your wife. 14 If you are not pleased with her, let her go wherever she wishes. You must not sell her or treat her as a slave, since you have dishonored her.
So just WHY this fellow would 'have' TWO wives (when one of them is unloved - not pleased with her) when he can send her on her way.