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The phrase "a complex process that" is correct and usable in written English.
You can use it when describing a procedure or system that involves multiple steps or intricate details.
Example: "Developing a new software application is a complex process that requires careful planning and execution."
Alternatives: "an intricate procedure that" or "a detailed method that".
Exact(60)
Coevolution is a complex process that occurs on many levels.
The use of numbered accounts made investigating the case a complex process that took several years, I.R.S. officials said yesterday.
Crown biomass estimation is a complex process that requires intensive manual field work involving destructive sampling.
The termination of liver regeneration is a complex process that is affected by integrin-mediated signaling.
Combustion is a complex process that produces energy as the goal and ashes as by-products.
Embryo implantation in the human is a complex process that is crucial for a successful pregnancy.
Bone formation is a complex process that requires concerted function of multiple growth factors.
Adipocyte differentiation is a complex process that is regulated mainly by a cascade of transcription factors.
Cartilage development is a complex process that can be analyzed using numerous model systems.
This is a complex process that has traditionally been run using deterministic or empirical process settings.
Urban traffic is a complex process that is often described by macroscopic flow models.
More suggestions(16)
a difficult process that
a multifaceted process that
a complex procedure that
a cumbersome process that
a convoluted process that
a sophisticated process that
a complex trial that
a problematic process that
a complex transformation that
a multi faceted process that
a complex phenomenon that
a complex interaction that
a complex conjuration that
a complex disability that
a complex area that
a complex syntax that
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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