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"additional complexity" is correct and usable in written English.
It can be used to describe something that has been made more complex by the addition of something else. For example, "The addition of these new regulations has introduced additional complexity to the data protection law."
Exact(60)
"There is no desire to add additional complexity.
It's an unsettling moment that takes on additional complexity in the light of Capote's circling of Brando.
A programmer working years ago could not have foreseen the additional complexity and the interaction of software programs in the Internet era.
Therefore, no additional complexity is introduced.
However, way prediction requires additional complexity to handle mispredictions.
Yet, relay nodes introduce additional complexity to resource allocation problems.
This will gain headroom for additional complexity in the model.
However, this also requires a great deal of additional complexity.
These methods generate additional complexity and estimation errors.
which shows the additional complexity cost at the receiver side.
Twin high-structures give rise to the additional complexity of a nearby structure.
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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