Does this usage of "so too (without comma in-between)" sound natural?

Solution 1:

If it was “so do” without “need to change” on the end than that would change the meaning, because it would be saying that institutions and policies need to restructure their life courses (which doesn’t really make sense, especially for policies), and not that they need to change. “So too” is correct for introducing a second concept that’s analogous to the first in some way but not exactly the same. The whole sentence is a little stilted, but perfectly grammatical.