| Often the renter will sign his and the landlords copy, esp when using a renting agent, and be given a copy, and the orginal to the landlord forwarded to the landlord, this does not mean that the landlord has not signed his copy, Just because the renter does not have a copy signed by both parties does not mean it is not a valid rental agreement.
If there is not a signed lease that can be presented in court as evidence then there is no legal lease, remember if the landlord has a copy, he signs his and has it for court,
You also have the issue of an agreed to verbal lease , a verbal lease may be honored in some US states depending on thier rental laws
** a verbal month to month is valid in all states | 
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