This is a pun on 'complex' which is this context is meaning a related group of emotionally significant ideas that are completely or partly repressed and that cause psychic conflict leading to abnormal mental states or behavior, but it's also being used because an alternative meaning of 'complex' is a group of similar buildings or facilities on the same site, like that of an apartment complex
I used to be afraid of purchasing residential property for the purpose of renting , but now I have an apartment complex .