Xdolls represents a regulatory headache, but police have investigated the owner and cleared him and there have been no complaints from neighbours, Le Parisien newspaper reported.
Lorraine Questiaux, a lawyer and spokesperson for the feminist group Nid, said there was no legal basis to shut down the service operating from the three-room apartment, but she told the newspaper it raised a moral question.
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"Can we allow a business in France based on the idea of promoting rape?" she said.
Other politicians in Paris have defended its right to exist.
"Wanting to close a business supplying sex toys, which concerns individual liberties between consenting adults, is not legal," leading centrist Eric Aziere has said.
In 2016, France changed its law on prostitution after years of parliamentary debate to make anyone caught using a sex worker liable for a fine of 1,500 euros ($1,800) for a first offence.
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