There are three distances to discuss in this kind of situation:
1. How far the star is from us now
2. How far the light we are seeing now has traveled
3. How far the star was when it first emitted that light
Those numbers are pretty much never the same thing, though the closer it is to us the closer they probably are.
Another thing to keep in mind about the expansion of the universe, whatever is causing it to occur is VERY weak compared to the other forces. The strong and weak nuclear force, which are responsible for holding molecules and the like together? Dramatically stronger. Thats why the particles in our bodies aren’t being torn apart as the universe expands (yet at least, they might someday in the far distant future). Gravity? Also stronger, much much stronger. The Earth isn’t changing distance relative to the sun as a result of universal expansion for example. Neither is anything in our own galaxy. In fact, neither is anything in the local cluster of galaxies. The Andromeda galaxy, for example, is moving CLOSER to the Milky Way. So much so that in about 4.5 billion years the two will collide and merge. You have to start looking at distant galaxies before you begin to notice the affect of galactic expansion. So any stars closer than say 10 million light years (and probably further, not quite sure how far the expansion starts to kick in) aren’t going to be affected by that. They will be affected by their motion relative to the earth, but not necessarily galactic expansion.
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