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The phrase "are highly complex" is correct and usable in written English.
It can be used to describe something that has many intricate parts or is difficult to understand.
Example: "The algorithms used in artificial intelligence are highly complex, requiring extensive knowledge to fully grasp their functionality."
Alternatives: "are very intricate" or "are extremely complicated."
Exact(60)
Government payment rules are highly complex.
But Cunningham's dances, especially, are highly complex systems.
Biological membranes are highly complex architectures.
Diesel engine emissions are highly complex mixtures.
But traffic management and net neutrality are highly complex issues.
Using a mass spectrometer to analyze panda scents, he showed they are highly complex mixtures.
The thousands of bombs in the stockpile are highly complex devices.
Examples are highly complex components of aircraft engines.
The underlying mechanisms are highly complex and remain unclear.
The secondary flows across the bundle are highly complex.
These data have multiple sources and are highly complex.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com