"solve the flaws" is correct and usable in written English.
You can use it when talking about how to address weaknesses or problems. For example: We need to identify and solve the flaws in our business model in order to be successful.
"As such, it can only buy time; it cannot solve the structural flaws behind the European debt crisis.
The new formula would not solve the fundamental flaws for most districts in how aid is distributed, they said, adding that in some areas it might actually create more problems.
But even tiding over countries in trouble will not solve the main flaw in the euro: the sharp divergence of national economies that share a common currency without significant fiscal coordination, let alone a single treasury.
The Wi-Fi industry plans to introduce a new security design next week that it says will solve the most critical flaws in the existing format.
A1 New H.I.V. Test Quandary Technology meant to solve the two glaring flaws of past H.I.V. tests has put public health officials in a quandary: new tests can largely eliminate either the long waiting time for results, or the failure to find early infections.
However, we do not think that these criteria solve the problem of detecting flawed trials.
Software like Knox solves the critical flaw in the "bring your own device" (BYOD) movement – where employees using their (insecure) personal phones open business presentations or upload company documents to services like Dropbox.
Therefore, to solve these flaws, we developed a vitamin C-substrate organo-mineral fertilizer, AGH-Ringer.
But Republicans could claim vindication for their view that "ObamaCare" was deeply flawed and would not solve the core problem, the rising cost of health care.
The ownership society's greatest flaw, however, is that it won't solve the problems it purports to address.
