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'resolve contradictions' is correct and usable in written English.
You can use it when you want to express the idea of finding a solution to a disagreement or inconsistency. For example, "The two sides met to try to resolve the contradictions between them."
Exact(15)
The primary aim is not to air issues and foster debate, but to test views, resolve contradictions and arrive at evidence-based conclusions.
But Sprint and other carriers called on Congress to set clearer legal standards for turning over location data, particularly to resolve contradictions in the law.
Furthermore, the law should remain internally consistent and, failing that, should provide for legal ways to resolve contradictions that can be expected to arise.
The secondary aims were to identify the relative strengths and weaknesses of the selected studies, to resolve contradictions in the literature, and to evaluate the need for further studies.
The aim in this section is to define a set of heuristics to help determine when and where nature is likely to experience and therefore have to resolve contradictions.
Ober demonstrates that the vocabulary of public speech constituted a democratic discourse that allowed the Athenians to resolve contradictions between the ideal of political equality and the reality of social inequality.
Similar(45)
Both had the drawback of tending toward their own self-destruction in the absence of a strongman to resolve contradiction through force.
In common with his future subjects the prince is a bundle of poorly resolved contradictions.
Both in his work and his remarks, Mr. Laxe seems less interested in resolving contradictions than in embracing them.
9. See: J. Van Maanen and S. R. Barley, "Occupational Communities Culturee and Control in Organizations" (Cambridge, MA: Sloan School of Management, November 1982); L. Bailyn, "Resolving Contradictions in Technical Careers," Technology Review, November-December 1982, pp. 40-47.
Each of Nishida's successive topoi serves as a level of analysis that resolves contradictions on less comprehensive levels, as Einstein's relativity theory encompasses Newtonian theory and resolves contradictions in it.
More suggestions(15)
resolve divergences
resolve complications
resolve clashes
resolve variations
resolve confrontations
resolve inconsistencies
resolve incompatibilities
resolve disagreements
resolve conflicts
address contradictions
solve contradictions
reconcile contradictions
overcome contradictions
resolve arguments
to solve contradictions
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com