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The phrase "a complicated combination of" is correct and usable in written English.
You can use it to describe something that consists of multiple intricate elements or factors that are intertwined.
Example: "The recipe is a complicated combination of various spices, herbs, and cooking techniques that create a unique flavor."
Alternatives: "a complex mix of" or "an intricate blend of".
Exact(24)
That's a complicated combination of factors.
"That's, like, an hour set, people," he said, incredulous, when impatient fans tried to coax the band back with a complicated combination of cheering and booing.
Creating acceptable aero-environmental conditions inside a livestock house requires an understanding of the mechanisms of dust generation, which involves a complicated combination of variables.
For example, the moon repeats its orbit around the Earth once a month, and the Earth orbits the sun in a year, so the moon's motion relative to the sun is a complicated combination of two simpler periodic motions.
Yet from April it is to have some sizeable holes in it.The ¥70 trillion cushion, created in 1998, is a complicated combination of four different "funds" that can be poured into the system in times of stress.
The county used a complicated combination of debt instruments and derivatives that was supposed to save money, but it failed in 2008, leaving it with more debt than it could repay.
Similar(36)
These results demonstrated a complicated combination in terms of target-mRNA multiplicity.
We observe that, according to the equations of our model [8, 9], the correlation function of velocities is never a single decreasing exponential of time, but it is in general a more complicated combination of exponentials, or an oscillating function of time.
The bad news: The FAA wants to replace these taxes with a more complicated combination of user fees and taxes in order to upgrade the nation's aging air traffic control system.
Further support for epiphenomenalism can be derived from the fact, noted by Wilhelm Wundt (1912), that "each simple sensation is joined to a very complicated combination of peripheral and central nerve processes", together with the fact that the causes of behavior are likewise complex neural events.
This suggests that delays may be more simply firing-dependent than advances, which may respond to a more complicated combination of light and firing.
More suggestions(17)
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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