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A thick atmosphere can fix this problem to a very large degree.
1) Mars recieves about half the solar radiation Earth does. This includes UV.
2) Assuming a sea-level atmospheric pressure similar to Earth’s, the lower Martian gravity will ensure an air-column 3 or 4 times higher than on Earth.
3) The Solar winds will take tens of millions, if not hundreds of millions, of years to ablate away the new atmosphere.
4) Ozone forms naturally in such an atmosphere (as by definition, terraforming means making it like Earth’s).
5) We don’t *know* the true state of Mars’ interior. Solid is unlikely. More likely it is just too viscous for a geo-dynamo.
6) The ability to terraform a planet suggest a technology level capable of building Solar screens at L-points. It is entirely plausible to build one to screen unwanted bandwidths.