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The phrase "argued that the complexity" is correct and usable in written English.
It can be used when discussing a point made in an argument or analysis regarding the intricate nature of a subject.
Example: "The researchers argued that the complexity of the ecosystem makes it difficult to predict the effects of climate change."
Alternatives: "contended that the intricacy" or "asserted that the difficulty".
Exact(9)
In a series of papers over the past 10 years, MIT Professor César Hidalgo and his collaborators have argued that the complexity of a country's exports — not just their diversity but the expertise and technological infrastructure required to produce them — is a better predictor of future economic growth than factors economists have historically focused on, such as capital and education.
It is argued that the complexity of the reality is not adequately captured (Suddaby et al. 2011).
To make such a leap, Darwin argued that the complexity we see today evolved gradually in a long series of intermediate steps, each step a better adaptation than the previous.
In 1984 author Charles Perrow published his groundbreaking book Normal Accidents: Living With High Risk Technologies, in which he argued that the complexity of our aging industrial infrastructure virtually insures that industrial accidents involving toxic chemicals will become a regular, and indeed normal, occurrence.
It has also been argued that the complexity of HIV infection requires that PHAs have 'informational' support in dealing with these issues [ 1].
In addition, Haldane argued that the complexity of the first organisms should be compatible to that of bacteriophages, thus anticipating some aforementioned modern views related to the RNA world concept [ 61, 62, 219].
Similar(51)
He argued that the complexities of cognitive and tonal meanings in poetry form the basis of the reader's emotional response.
Richards & Borglin [ 25] argue that the complexity of nursing is such that it can be seen as the 'quintessential complex intervention' – comprising a number of component parts which, when applied to a target population, has the potential to produce a range of possible outcomes.
It is, in any event, unacceptable to argue that the complexity of cash flow valuation makes it an exception that can only be handled through amorphous concepts like discount factors and not with the normal rules of probability and statistics.
They argue that the complexity of real world conditions does not preclude a systematic analysis, and that such an analysis, synthesizing economics, political science, and history, can help us understand real world events.
They argue that the complexity of the issues and the need to get Afghanistan's neighbours to agree to any deal that includes a withdrawal of US forces mean that talks would benefit from a UN-appointed "facilitator".
More suggestions(15)
argued that the size
disagreed that the complexity
argued that the diversity
argued that the tape
argued that the depth
argued that the integrity
acknowledged that the complexity
argued that the magnitude
argued that the variety
argued that the sensitivity
illustrated that the complexity
argued that the difficult
argued that the directive
argued that the plan
argued that the outrage
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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