If you put clothes and bathing cloths with ants in the washing machine and then the dryer, it is likely that the ants will be killed and washed away during the washing process. The agitation and water in the washing machine will likely dislodge and remove the ants from the garments.
As for the dryer, the heat may cause the ants' bodies to dry out and become brittle, but it's unlikely that they will be "melted." Ants are relatively small and have exoskeletons, which might not fare well in the dryer's heat, but it shouldn't pose any harm to your clothing or bathing cloths.
Once the washing and drying are complete, the garments should be free of live ants and any remnants of dead ants would likely be minimal and harmless. It's safe to wear or bathe with them afterward.
However, if you're particularly concerned, you can shake the clothes out before putting them in the washing machine to dislodge any visible ants. Additionally, ensure you're not dealing with any ant infestation in the laundry area or storage, as it's essential to address such issues to prevent further problems.