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The phrase "are significantly more complex" is correct and usable in written English.
It can be used when comparing the complexity of two or more subjects, indicating that one is notably more intricate than the other.
Example: "The algorithms used in machine learning are significantly more complex than those in traditional programming."
Alternatives: "are considerably more intricate" or "are much more complicated."
Exact(16)
Chips are significantly more complex compared with chips of only a few years ago.
Such active WSN applications are more autonomous, but are significantly more complex to implement.
But these independent arguments are significantly more complex, having to do with model theory and Skolem's "paradox".
In electric vehicles (EVs) the thermal systems (cooling and HVAC) are significantly more complex than conventional vehicles.
The phantom provides a viable alternative to existing phantoms that are significantly more complex and require high precision fabrication.
Most recent findings on transcriptional and epigenetic level, however, suggest that the molecular features of macrophage activation are significantly more complex.
Similar(43)
Another aspect is looking at the next level of complexity: how we can build a nucleotide, something that's significantly more complex, although it's a long way from a biological species; how to build bigger macromolecules from that.
"However, in reality, the situation is significantly more complex".
In this case, though, the technology is significantly more complex and the moral stakes are higher.
In June 2007, Trend Micro noted that it was one of the most widespread spyware infections in the UK: "With over 60 different variants, this spyware is significantly more complex than average making it harder to detect and remove").
The document also adds that any attempt at shared regulatory arrangements between an independent Scotland and the continuing United Kingdom would be "significantly more complex than those that currently exist" and would be likely to increase the costs for firms of complying with this regulation.
More suggestions(11)
are dramatically more complex
are significantly more difficult
are vastly more complex
are further more complex
are significantly more cumbersome
are markedly more complex
are significantly more diverse
are considerably more complex
are significantly more challenging
are much more complex
are far more 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