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The phrase "add another dimension of complexity" is correct and usable in written English.
It can be used when discussing a situation, problem, or concept that becomes more intricate or multifaceted.
Example: "The new regulations will add another dimension of complexity to the project, making it more challenging to manage."
Alternatives: "introduce additional layers of complexity" or "bring in extra complexity."
Exact(2)
Secondary changes in cardiovascular control and hemodynamics add another dimension of complexity.
Radiolabeled nanoparticles for internal radiotherapy add another dimension of complexity, because radiolabeling often needs to be completed in short time while keeping a satisfactory labeling efficiency and radiostability.
Similar(58)
However, adaptivity adds another dimension of complexity into system design since the system behaviour changes during the course of adaptation.
However, a second ER, termed ERβ, was subsequently discovered, adding another dimension of complexity to the regulation of hormone response [19] [20].
However, the context of mammalian cells adds another dimension of complexity in that both the intricate extracellular matrix and intracellular cytoskeletal milieu can influence the function of mechanosensitive channels [6].
Moreover, the presence of type II sites in the breast and uterus adds another dimension of complexity to phytoestrogen action.
However, a second ER, termed ERβ, was subsequently discovered, adding another dimension of complexity to the regulation of hormone response.
Furthermore, he explained that drugs used to treat diseases primarily affecting marginalized populations have a limited commercial market, which adds another dimension of complexity to an already difficult task.
The presence of nonlinearity may add another dimension of complexityto it.
Carbon dioxide control based on adjustment of the I E ratio would add another dimension of algorithmic flexibility; however, it would also increase the complexity of the rule base.
"Being young and female, it added another dimension of interest to the public," Hall said.
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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