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The phrase "a more complicated version" is correct and usable in written English.
You can use it when referring to a variant of something that has additional complexity or intricacies compared to a simpler version.
Example: "The original recipe was straightforward, but I decided to create a more complicated version that includes several unique ingredients."
Alternatives: "a more complex version" or "a more intricate version."
Exact(14)
We can perform a more complicated version of this analysis if we like, but it produces the same result.
The research is a more complicated version of a long-studied problem: how tightly identical spheres can be packed together.
Hey Dude, Where's My Car? (Free, iOS) This is basically a more complicated version of Google Maps with a clever name.
The Irish will vote on what is known as the Lisbon Treaty, painfully renegotiated after the French and Dutch in 2005 rejected a more complicated version, which had the trappings of a constitution.
"It poses a more complicated version of the age-old dilemma that campaigns always find themselves in," said Phil Singer, who was the press secretary for Senator Hillary Rodham Clinton's campaign.
To write a Fib, a more complicated version of the classic, highly constrained haiku, the poet composes a six (or more) line poem that has the correct number of syllables in each line corresponding to each digit in the Fibonacci sequence.
Similar(42)
A somewhat more complicated version: Mr. Obama is now leading in the polls in Ohio and other states, which, if that holds on Election Day, would be enough for him to win at least 270 electoral votes, and by a margin that has historically translated into victory roughly 80 percent of the time.
To improve the fit quality, a slightly more complicated version of this formula has been proposed by Dasgupta et al. in [38], based on empirical corrections.
Gil Middlebrooks, Wright's attorney, remembered a slightly more complicated version of events, as he told The Washington Post in 1994.
In a later essay (Fodor 1991), Fodor defends a weaker and more complicated version of the second premise.
Mann's material is an enlarged and much more complicated version of a plot familiar from the TV series: Crockett and Tubbs insinuate themselves into a drug-smuggling operation and try to smash it.
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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