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Questions about 2K textures and screen resolutions

I have a question, suppose I have a games and all the textures are of 2K, well!, now suppose I have resolutions of 640 x 480 and 1024 x 768, I put my game in 640 x 480 resolution, if the resolution of the textures are 2 k, by putting the resolution at 640 x 480, textures are reduced by 640 x 480 or remain in 2K but gets ugly textures?