I guess... you seem to talk about
서울에(서) 살아가기/서울에(서) 살기( living in Seoul) ; a gerund /to-(purpose)
For example,
나는
서울에 살기가 싫어: I don't like living in Seoul.
서울에서 살기 힘들어 : It's hard to live in Seoul.
서울에 살기 위해 돈 많이 벌어야 해 : I should earn money a lot to live in Seoul.
(나는) 서울에 살아(I live in Seoul.) ; conversation form
Is that what you asked?
