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Be aware that if you are in a more modern "tight" house, that drying indoors like that can increase the moisture load tremendously, and if the house isn't setup to handle it, you can get moisture damage from drying clothes.

The water has to go somewhere, and if it's not going down the drain or out the dryer exhaust, it's going into the air. (This may be desirable in some cases to balance humidity).

Same reason that storing wet wood in the basement can lead to water issues in the walls.