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The phrase "at three distinct levels" is correct and usable in written English.
It can be used when discussing concepts, analyses, or frameworks that operate on multiple tiers or dimensions.
Example: "The research findings can be interpreted at three distinct levels: individual, organizational, and societal."
Alternatives: "on three different levels" or "across three separate levels".
Exact(8)
Each subject-matter module is being prepared by a recognized expert in that particular field at three distinct levels for training purposes (i.e., introductory, intermediate, and advanced).
This generic overview of the dataflow architecture clearly shows that for efficiency purposes, enhancements can be performed at three distinct levels, namely the FBs, the communication infrastructure, and finally the control unit.
The activities of MMPs are controlled at three distinct levels: gene expression, activation of the proenzyme forms of the MMPs, and inhibition of activity by complexing with their specific tissue inhibitors (TIMPs) [21].
In analogy to the conceptual framework suggested by Marr [1], a general computational theory of the nervous system should contribute to our understanding at three distinct levels of analysis.
We have shown that MC1568 (Mai et al, 2005; Butler & Kozikowski, 2008; Itoh et al, 2008) acts at three distinct levels to interfere with myogenic signalling (Fig 4).
We profiled 9406 exons representing 1020 genes using male and female liver samples from three strains, analyzed the results at three distinct levels: 3' gene expression, whole-transcript gene expression, and exon expression.
Similar(52)
Dr. Joseph M. McAvoy, director of the Cactus Hill excavations, reported new radiocarbon tests showing human occupation at two distinct levels in the sandy soil at Cactus Hill.
It enables the upper-middlebrow viewer to enjoy films such as Raising Arizona (1987) or The Big Lebowski (1998) at two distinct levels: these aren't just screwball comedies, they're screwball comedies made by film-makers with a sense of irony about the scope and aims of the Hollywood dream factory; if you like, they're screwed-up screwball comedies, so, what's not to like?
This data sharing works at two distinct levels.
This new Reflux Classifier uses sand (−335 + 125 micron) as a dense-medium and uses vibration at two distinct levels to improve fluidization stability, as shown in Fig. 7.
The incitation of male-male competition hypothesis [3] can operate at two distinct levels, which are not mutually exclusive [12].
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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