I don't understand

He left me three months ago, but can't stay away. Still says he cares and loves me as much as he always has. Texts me when he would like to see me which about once or twice a week. Wants me to come to his house where he lives with his parents which I don't understand because why brig an ex around them still you know!? Never experienced this with his ex. Stringing me along or what!?