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Bathroom- ventalation/wet carpet

We are having an issue in our 3 year old house. Carpet next to main bathroom is always wet- in photos you can see underlay is all ruined etc. We uave had a new extraction fan put in but has made no difference. Tounge and groove door is buckled too as soaking up moisture from carpet. Not sure if there is a leak or we need another ventalation system put in.