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The phrase "a different level of complexity" is correct and usable in written English.
It can be used when discussing varying degrees of difficulty or intricacy in a subject, task, or concept.
Example: "The new software introduces a different level of complexity compared to the previous version, requiring additional training for users."
Alternatives: "a new degree of complexity" or "an alternative level of complexity".
Exact(6)
Actually, there are four models to consider, each doing business at a different level of complexity and local intellectual content: importers, assemblers, plant complexes, and fully integrated business operations.
The purpose is to give the designers two design procedures with a different level of complexity and accuracy.
Many different models are available in the literature, each suitable for different joint configurations and with a different level of complexity, from the first classical models of Volkersen [16] and Goland and Reissner [17], to more advanced general models suitable for modelling any type of joint configuration, such as the model proposed by Bigwood and Crocombe [18].
Each case contained a different clinical problem of a different level of complexity (Fig. 1).
For the intervention and tests, 16 written patient cases were developed using four clinical subjects (A D), each with a different level of complexity (1 4) (Fig. 1).
To address this issue, we have developed a coordinated set of four distinct bioassays that each have a different level of complexity (Fig. 1) and can be used in combination to test the safety and effectiveness of candidate drugs at the molecular, cellular and organismal level.
Similar(54)
It is organized into five levels each corresponding to a different level of biological complexity (for both toxicological and ecotoxicological areas).
The OECD conceptual framework for testing and assessment of potential endocrine disrupting chemicals comprises five levels, each level corresponding to a different level of biological complexity (OECD 2002) [16].
The Intergovernmental Panel on Climate Change (IPCC) provide a three "Tier" system through which carbon stocks and emissions can be reported, each with a different level of methodological complexity and accuracy.
While hamburgers and hotels have their own operational issues, medical billing for insurance reimbursement is a whole different level of complexity, and certainly one the average franchisee candidate knows little or nothing about.
The latter entail a fundamentally different level of complexity as both partners are eukaryotes (Stoebe and Maier 2002).
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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