Process of Eviction in NY?

[gustav]

I am getting all sorts of information on eviction. This tenant never signed a lease when he moved to this apartment and in the beginning there was a different owner. Now after 7 years with the new owner this tenant is being evicted from his home, because the landlord claims he didn't know there were 4 of them living there, and the apartment they live in is run down with black mold, and an occasional rodent, the tenant had to put out rat poison to take care of that, and try to control the black mold themselves, the landlord would not take care of any of those issues anyhow just wondering the process of eviction after the tenant signed the landlord's 30 day eviction notice, where does the process go after the 30 days is over and the tenant has not moved?

[spengler]

Then the landlord evicts for Failure to Vacate, it will take about 3 weeks to get the dead beats removed.