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You can consider buying renters insurance, which will cover damages and losses to your personal property whether you have rented from a property manager, a house owner or a university i.e in case of a student living in a dorm.
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Renters insurance policies normally do not cover risks collectively for unmarried couples living together. Hence, each partner needs to opt for a separate renters insurance policy. However, there are some policies, which cover any resident of the policyholder's household who satisfies the criteria "domestic partner."