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The phrase "a complicated system of" is correct and usable in written English.
It can be used when describing a complex arrangement or structure involving multiple interconnected elements or processes.
Example: "The research focused on a complicated system of environmental factors that influence climate change."
Alternatives: "a complex network of" or "an intricate framework of".
Exact(60)
They also set up a complicated system of consultation.
In the male cells, the activists negotiated a complicated system of competing interests.
They set up a complicated system of communicating through a shared Gmail account.
Member states' approval is determined through a complicated system of a majority based largely on population.
A massive clock with a complicated system of whirring cogs dominates Ruari Murchison's fetching, resourceful set.
The shadier outfits use a complicated system of sub-contracting to avoid paying insurance fees.
Making work pay, ending dependency, simplifying a complicated system of top-ups and payments – these ambitions should be applauded.
Rabanus compiled an early encyclopaedia, wrote commentaries on the Bible, and devised a complicated system of coded poetry, shown here.
The bill also restructures a complicated system of deductions many households and businesses use to lower their tax bills.
This emplacement method likely results in a complicated system of incompletely iron filled fractures.
It is a complicated system of alliteration and internal rhyme, obligatory in the 24 strict metres of Welsh bardic verse.
More suggestions(17)
a tough system of
a delicate system of
a convoluted system of
a complicated scheme of
a complicated mechanism of
a sophisticated system of
a challenging system of
a complicated procedure of
a complicated regulation of
a cumbersome system of
a complicated tangle of
a complicated array of
a complicated act of
a complicated mix of
a complicated series of
a complicated piece of
a complicated form of
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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