My apartment lost my lease agreement and they have increased my rent? If they dont have an agreement is the lease void?

First, there does not have to be 2 signed copies for your residential lease to be valid. One copy, executed (signed) by both parties is enough to create a valid, enforceable contract. If you move out, without providing notice required under the lease, then the landlord could sue you under the residential contract. The landlord may have trouble producing the original but they'll likely have a photocopy and this will be sufficient in court. There are reasons that would allow for you to move out of the apartment without the threat of a lawsuit. First, if there is something significantly wrong with the apartment itself. For example, if there is a rat infestation or a bug problem that is so severe the apartment is inhabitable. A few bugs or mice won't be enough, you'll need to show some kind of large infestation. Or, if the residence is inhabitable because the water pipes have burst, the air conditioning creates a constant leak, the roofing is collapsing. Any of the preceding would be great examples of things that could allow you to move out of the apartment, provided you give the apartment notice and an opportunity to fix these things (and they don't). If you're simply seeking to leave a residence that is in good, habitable condition, then you'll be risking legal action from the landlord.... even if the landlord does not have an original version of the lease.