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The phrase "a greater level of complexity" is correct and usable in written English.
It can be used when discussing something that involves more intricate or complicated elements than another subject or situation.
Example: "The new software update introduces a greater level of complexity, making it more challenging for users to navigate."
Alternatives: "an increased degree of complexity" or "a higher level of intricacy".
Exact(5)
Our recent studies show a greater level of complexity, however, as all three factors interact within each sex to generate differential adult variation in global post-translational histone modifications (PTHMs), which may result in fundamentally different consequences for life-long learning and behavioral function.
This may signify a greater level of complexity in the connexin-zonula occludens interactions and their impact on cellular functions.
The operation of processes at lower levels of the hierarchy results in a greater level of complexity at the higher levels.
To account for the complex, multi-dimensional behaviour now observed in experiments, some simplifying assumptions (such as equilibrium) can no longer be treated as valid and a greater level of complexity must be considered [ 16- 21].
While current simulations are relatively simplistic, actual injection projects will need to address a greater level of complexity, including the following heterogeneities inherent in natural systems; realistic leakage complexities posed by multiple injectors, likely of varying construction; coupled geomechanics; and multiple injection projects in regional hydrology.
Similar(55)
Peripheral B cells are morphologically homogenous, but their surface phenotypes, anatomic localization, and functional properties reveal a great level of complexity, which may be disrupted by viral infection and inflammation.
Notably, there is a greater level of molecular complexity and redundancy observed in the human Hippo pathway, often with multiple mammalian homologs for a single Drosophila protein.
I think what is new in our generation is a greater level of social complexity -- which should be reflected in its architecture.
Detection of any non-random distribution of castes within aphid galls would indicate a greater level of social complexity than that which is currently appreciated.
A greater level of statistical complexity is possible by also presuming that the parameters have probability density functions; h i(θ i) is referred to as the prior distribution of θ i.
The electrical modelling of an HCPV module shows a significantly greater level of complexity than conventional PV (photovoltaic) technology due to the use of multi-junction solar cells and optical devices.
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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