We can and we have done that.
Multiple satellites have been placed in the lagrange points around Earth. The James Webb Space Telescope will be placed at a lagrange point.
We don’t put space stations there because none of the benefits of doing so are really useful for a space station and it’s much more beneficial to have it be in low Earth orbit so it’s easier for resupply missions and such to reach it. The lagrange points aren’t close.
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