The thing that determines if something is blurry for you or not is the focal length which is based on the distance the light travels from the thing to your eyes.
If you were looking at a picture that was a foot in front of you, the light is only travelling a foot.
But if you are looking at a mirror and seeing the reflection of something that is 50 feet behind you, the light of the thing is actually travelling 52 feet to get into your eyes. (50 ft to get to where you are, another foot to get to the mirror and then another foot to get from the mirror back to your eyes).
So now you can see (pun intended) that the focal length is much larger for the object in the mirror compared to the picture.
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