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While Florida is a "one party" consent state, Nevada is a "two party" consent state. Nevada "Wiretapping" laws (NRS 200.620) require that all parties to the conversation must consent to the recording. (See: http://www.shouselaw.com/nevada/wiretapping.html).
When there is a conversation that crosses state lines - the more restrictive rules apply (in this case, the NRS statute).