"Be living" is the progressive form of "live" describing someone's current life situation. It often refers to where someone resides now or how they are getting by. It can hint that the situation is temporary.
No one can confidently say that he will still be living tomorrow. Euripides
Life is too short to be living somebody else's dream. Hugh Hefner
Life yields only to the conqueror. Never accept what can be gained by giving in. You will be living off stolen goods, and your muscles will atrophy. Dag Hammarskjöld
Here lies W. C. Fields. I would rather be living in Philadelphia. W. C. Fields
If civilization had been left in female hands we would still be living in grass huts. Camille Paglia
Since people are going to be living longer and getting older, they'll just have to learn how to be babies longer. Andy Warhol