How can we re-do an ugly, uneven cement patio slab?

We have a large patio that has a cement slab made of stamped concrete. The cement has a coarse stamped texture which the previous owner painted. The paint has peeled in numerous places exposing the cement underneath. Due to the unevenness of the stamped surface and the exposed cement, the patio is not a place we like to go to enjoy. Is it possible to cover this ugly cement with an even surface that would stand up to the weather?

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