This isn’t the only reason but a lot of countries like US Military presence. E.g. Poland knows the US is unlikely to attempt a take over of Poland no matter how assured a US victory would be, but Poland is pretty sure Russia would if they had even half a chance at success. So Poland is perfectly happy to host the US military in order to deter Russia. The US has strategic reasons for not wanting Russia to take over Europe, so they are happy to have a base there.
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