"To resolve this paradox" means to find a solution or explanation that reconciles or clarifies a situation where two contradicting or conflicting ideas or facts exist. Full definition
The trick to resolving this paradox lies in layering gameplay. (gamesetwatch.com)
Previous modelling efforts to resolve the paradox by loading the early atmosphere with greenhouse gases assumed that it has always had the same concentration of nitrogen. (newscientist.com)
Humanly speaking, we can not resolve the paradox by logically separating the points of the tension — God's will and our own. (firstthings.com)