Complex sentence: She's been locked out, due to nonpayment of rent (not to mention having a pig in her pigpen of an apartment) and they tell her that she can claim whatever possession she needs until she is banned from her apartment building.
Split into simpler sentences: She's been locked out, due to nonpayment of rent and having a pig in her pigpen of an apartment. They tell her that she can claim whatever possession she needs until she is banned from her apartment building.