Object states are not placed correctly on slide

No, it’s not as easy as it might seem. It sounds like when you create the new state you are placing a smaller version of the original. The problem is that you are also moving it to a specific spot on the slide. The important thing is that that is not an absolute position, it is relative to the original. So if the original moves, so will the new state. When you cannot see it, it probably has moved off the slide.

What I would do is create the new state exactly where the original is, then after the animation, move it to where you want it with a motion path. Use a line with a length of 0 and do not select Relative starting point. Set its coordinates to the spot you want it to be.