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The phrase "a number of complex" is correct and usable in written English.
It can be used when referring to multiple complex items, concepts, or issues in a general context.
Example: "The project involves a number of complex challenges that we need to address."
Alternatives: "several complex" or "many complex".
Exact(60)
Polycystic kidney disease involves a number of complex interacting pathways that undoubtedly add to the complexity of this disease.
A number of complex issues are at play here.
She has been involved in more than 50 jury trials and a number of complex investigations.
The Turkish government, for a number of complex political reasons, has now reconsidered sending troops.
The tactical dominance in Europe of the heavy mounted elites had a number of complex causes.
I think there are a number of complex factors at work.
Histamine is a chemical messenger involved in a number of complex biological actions.
As well as the politically contentious issues, a number of complex legal issues need to be resolved.
These contaminants produce a number of complex volumetric scattering effects that must be taken into account when creating photorealistic renderings.
The developmental process raised a number of complex and unexpected issues.
In particular the scope is generally broad, covering a number of complex conceptual and human interactions.
More suggestions(17)
a multitude of complex
a breakdown of complex
a number of compound
a number of diverse
a number of tricky
a number of compounds
a number of intractable
a number of challenging
a number of problematic
a number of cumbersome
a number of difficult
a number of multifaceted
a number of sophisticated
a number of convoluted
a number of intricate
a number of knotty
a set of 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