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The phrase "are exceedingly complex" is correct and usable in written English.
You can use it to describe something that is very intricate or difficult to understand, often in academic or formal contexts.
Example: "The theories presented in the paper are exceedingly complex, requiring a deep understanding of advanced mathematics."
Alternatives: "are highly intricate" or "are extremely complicated."
Exact(18)
The challenges are exceedingly complex.
Other natural products, such as penicillin, vitamin B12, proteins, and nucleic acids, are exceedingly complex.
Recent research has verified Kempe's results, but yield linkages that are exceedingly complex.
Most of this climate information comes from numerical models of the Earth system that are exceedingly complex.
The outermost regions of the magnetosphere are exceedingly complex, especially at high latitudes, where terrestrial field lines are open to space.
This has complemented previous and ongoing efforts in biochemistry, pharmacology, and physiology, revealing that nematodes possess some peptide families that are exceedingly complex.
Similar(42)
But implementation is exceedingly complex.
"HDL is exceedingly complex," he added.
The history of that war in Romania is exceedingly complex.
Those studying how to overhaul the system have found that it is exceedingly complex.
However, this was exceedingly complex and not feasible in the time given.
More suggestions(17)
are highly complex
are excessively complex
are exceedingly cumbersome
are prohibitively complex
are exceedingly difficult
are exceedingly intricate
are tremendously complex
are inordinately complex
are overly complex
are enormously complex
are immensely complex
are incredibly complex
is highly complex
are very complicated
is extremely complex
were extremely complex
are extremely complex
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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