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The phrase "a complex system that" is correct and usable in written English.
It can be used when describing a system that has multiple interconnected parts or elements, often in a scientific, technical, or analytical context.
Example: "The research focused on a complex system that regulates climate patterns and influences weather events globally."
Alternatives: "an intricate system that" or "a multifaceted system that".
Exact(60)
MPS is a complex system that can be viewed in different ways.
One reason is that the real world is a complex system that is constantly adapting.
But the courts, over hundreds of years, have evolved into a complex system that is hard for outsiders to understand.
One thing I learned from computer science is how to debug a complex system that is not working.
An aircraft is a complex system that requires methodologies for an efficient thermodynamic design process.
The fast charger for electric vehicle (EV) is a complex system that incorporates numerous interconnected subsystems.
While a bill to curb global warming has already passed the House, it sets up a complex system that could take time to put into effect.
In scientific terms, she wanted to examine a complex system that would subject the trees to the combined effect of all forms of air pollution.
We therefore know that we are driving a complex system that is prone to sudden surprises outside the conditions in which it has been operating for millennia.
It is a complex system that has given — and continues to give — my racial group a host of advantages and power by oppressing and disadvantaging others.
Because each individual brain is a complex system that evolves in response to a unique environment, many brain functions do not end up in the same place.
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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