It does not have to specify in the lease what the landlord's liquidated damages may be.
A lease is a legally, binding contract, and in your lease you agreed to pay x amount of rent for a certain length of time.
You may try to negotiate with the LL to try and get out of your obligation sooner. If enough notice is given the LL may be able to get another tenant, helping to eliminate the damages LL could seek.
New York Breaking a Lease

