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The phrase "a complex of different" is correct and usable in written English.
It can be used to describe a situation, idea, or phenomenon that consists of various distinct elements or components.
Example: "The project is a complex of different strategies aimed at improving community engagement."
Alternatives: "a mixture of various" or "a combination of different".
Exact(11)
The taxonomy of the roughtail stingray is not fully resolved, with the disjunct northwestern Atlantic, southwestern Atlantic, and eastern Atlantic populations differing in life history and perhaps representing a complex of different species.
The poem is a complex of different themes.
Such synthetic systems were modeled after biological systems whose structure included all the necessary information to specify how a complex of different kinds of molecules would assemble and organize without external direction.
Building sustainability involves various relations between built, natural and social systems and therefore comprises a complex of different priorities that require consideration at each stage of a building's life-cycle.
Determination of a reference geodetic frame and a unique system of normal heights, meeting requests of geodynamic studies, demands an accomplishment of a complex of different types of geodetic measurements (space and terrestrial), as each of the techniques separately unable to give a singular interpretation.
The egg is not a completely unstructured blob, but rather a complex of different materials that can respond to influences both within the egg and from the external environment.
Similar(49)
Troponin is a complex of three different protein subunits.
This may entail transplantation of just a single type of cell or, more challengingly, require a complex of several different types of cells possessing a defined architecture.
Multi-protein RING E3 ligases, like the Anaphase Promoting Complex (APC) and Cullin-Dependent Ligases (CDL), use a complex of many different proteins to facilitate ubiquitin transfer [18].
Discussing the state of vulnerability in the tsunami affected areas today requires the consideration of a complex bundle of different types of information from different sources.
Like so many other Arab city-states in the Ottoman era, Aleppo was a thriving complex of different religions, ethnicities and tribes.
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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