Answer: Sounds like overly wet soil has produced a root rot, which has caused a vascular collapse of the leaves. If you can find a healthy leaf or two, cut them off the dying plant and pot them up to start new aloe plants. Aloe's prefer soil on the dryish side and practically no water at all in the wintertime. If the soil remains too moist during the winter, the roots can suffocate or become diseased.
If you're adventurous you can unpot the aloe and cut away the diseased portions, including any slimey or obviously dead roots. If you can find a portion of healthy roots with a few healthy leaves attached, replant it in new, fast draining potting soil. It may recover and develop into a healthy aloe plant. Hope so!
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