Prostitution laws do not require that any sex act actually occur, they only require that there be an agreement to perform a sex act in exchange for money. So, if your discussion included an agreement to perform a sex act in exchange for money, then yes, you could be arrested.
However, you did not indicate that in your statement, you only indicated were "arranging to meet". If that's all you did, then there would not be an arrest as no criminal activity occurred.
As a note, I would also suggest that an arrest seems unlikely in any situation. In my time as a prosecuting attorney and as a defense attorney, I have never seen law enforcement arrest people for allegations of prostitution over nothing more than a phone call. Instead, they would prefer to have some overt act, such as going to an arranged meeting location, before effectuating an arrest.
Please let me know if anything requires clarification.
Also, several customers have asked how they may direct a question to me in particular. If you specifically want me to assist you in your legal matter, just put "FOR JOSEPH" in the subject line and I will gladly pick up the question as soon as I am on-line.
The police are not going to effectuate an arrest over nothing more than an implication of sex, they are going to need an actual discussion of some sex act. Without that, there won't be an arrest.
As to the time, I would suggest that this element is not much of a factor. After all, people engage in sex acts at all times of the day.
I am going offline for the evening. Please feel free to respond, if necessary, and know that I will be back online tomorrow.
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