[H.Akston]

I have shown that a State can outlaw prostitution.

You have not shown that a state can not outlaw prostitution.

[tpaine]

H.Akston wrote:

I have shown that a State can outlaw prostitution.
You have not shown that a state can not outlaw prostitution.

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No, you have shown that a State can reasonably regulate the public & commercial aspects of using sex for personal gain between consenting adults.

You have not shown that a state can 'outlaw/prohibit' the private aspects of using sex for personal gain between consenting adults..