I am going to make a guess here, so if I am incorrect please set me straight. You have two individuals who live with you who do not pay rent, damage your property, and you want them gone. You gave notices before, but they asked you to set those notices aside and you permitted them to stay.
If that is correct, you must serve them with notice again and restart the process. Depending on where you are located (as each state has different codes) you may be able to give them a shorter notice for non-payment. You also need to make sure that you can prove that you served them because that notice becomes important.
Now, this time, when it expires, take the notice to court and file a petition for an eviction (also may be known as a complaint for unlawful detainer). You will need to show proof that you served them and that they are in violation. They will need to be served with a copy of the complaint and they can also appear in court to challenge as well as file their own answer.
At the hearing you would need to show evidence of violations and seek an eviction. If you prevail, you will receive a 'writ of possession'. You would need to give a copy of this writ to the local sheriff and then the sheriff would be able to forcibly eject them from the premises if they are still on premises.
Hope that helps.
Please take care and be well, and good luck to you. I will be logging off to get some rest but will return later on in the morning. Should you respond, there may be a delay with my assistance. Otherwise, if satisfied, kindly do not forget to positively rate. Thank you!