I experience myself as a thinking subject, while at the same time making myself an object of my own thought. I.e. 'I' am thinking of 'me'. What appears as a subject in one way of looking appears as an object in another way of looking. In this view, subject and object are different aspects, but not different things. Remember, the word aspect means 'look at'.
Different aspects show up by looking at it in different ways.
The world is not really divided into these two sets and therefore there is no real separation. The sets are virtual divisions in my own mind, not in the real world. There may be real objects in the physical world but there are certainly no subjects. That requires a virtualistic mode of perception.