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The phrase "address the complexities" is correct and usable in written English.
You can use it when referring to the challenging aspects of a situation that need to be dealt with. For example, "We must address the complexities of this issue in order to move forward."
Exact(60)
BDS fails to address the complexities of such a move.
This review will address the complexities and controversies of post-traumatic neuroinflammation, particularly in spinal cord.
Both in her commentary on Mrs. Wheeler and elsewhere, Crafts transcends the melodrama of her fictional genres to address the complexities of the slave experience.
But rather than address the complexities and contradictions of American cultural hegemony, Mr. Godard falls back into a pose of world-weary, Olympian disdain.
These and similar clunking attempts to address the complexities of community cohesion show a serious misunderstanding of the scale of the challenge, and the shape of the solution.
"The speed is just so quick that really only artists can address the complexities of how fast it's changing," Ms. Chaffee said.
But in the murky world of terror and counter-terror, soundbites are crassly misleading, as they fail to address the complexities behind the apocalyptic scenes we have witnessed.
Her pieces are an attempt to facilitate mutable identities that are more fully equipped to address the complexities of an interwoven global world.
This paper develops enhancements for arrival time determination and time difference of arrival localization in order to address the complexities posed by wave propagation within a building's structure.
This approach is called information integration technology (IIT), and it meshes techniques from cultural anthropology, the AI community, and Bayesian statistics to address the complexities of multidisciplinary research.
My strategy for the bank, which I will spell out in detail later this month, will start to address the complexities and operational issues of a bank this size.
More suggestions(16)
address the constraints
address the vulnerabilities
address the intricacies
accommodate the complexities
address the matters
addressing the complexities
overcome the complexities
resolving the complexities
alleviate the complexities
address the complex problems
address the complex nature
address the restrictions
address the limitations
concerns the complexities
resolve the complexities
addressed the complexities
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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