If you have a star that's 0.6 or 0.8 solar masses, then its lifetime is going to be 15 to 20 billion years. If you assume that such a small star formed soon after the Big Bang, then it is still observable today. These stars are not far away, they're in our galaxy in the outskirts. They probably did not form in the galaxy because, again, hierarchical assembly of a Milky Way event,. exactly, they formed in a little other galaxy in the vicinity.

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