Partial pressure difference. There’s more water in your clothes than in the air surrounding it; water molecules will leave the clothes until the pressure is equalized. Water evaporates from seas/lakes/rivers/oceans at all temperatures, not just at 100C. Adding heat just adds energy that makes it easier for the molecules to detach from each other. Have you noticed how it takes longer to dry your clothes when the day is humid, like after it rains, when there’s more water in the air already.
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