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The phrase "a three level process" is correct and usable in written English.
It can be used to describe a procedure or system that consists of three distinct stages or levels.
Example: "The training program is structured as a three level process, ensuring that participants build their skills progressively."
Alternatives: "a three-tiered process" or "a three-stage process".
Exact(1)
For example, a three level process parameter counts for two degrees of freedom.
Similar(58)
It is shown that for a 1 THz lens fabricated using an eight level process the lens efficiency is reduced by less than 20% for realistic values of etch non-uniformity, inter-level misalignment and surface roughness.
Meta-learning is usually referred to as a two level learning process.
The problem is initially defined as a two level organizational decision process: the design decisions must be made here and now, but the SCN can be used only after an implementation period.
These attributes and the description of their levels were developed using a two stage process.
The nature of the faults consequences are studied at two levels: process level and mathematical level.
A four level, multi-faceted follow-up process was established to ensure low loss to follow-up rates (e.g., 3 5% after three years of follow up).
Power LDMOS transistors have been fabricated with a seven mask levels process technology including a LOCOS oxide in the drift region and a polysilicon field plate.
The novel approach allows thereby the distribution of the ETL process at three levels: the "process" level for coarse-grained distribution and the "functionality" and "elementary functions" levels for fine-grained distribution.
This review used a framework for primary care consisting of three levels: structure, process and outcome (see Figure 1); inspired by Donabedian's health system analysis approach [ 19].
It describes the key dimensions of primary care systems at three levels: structure, process, and outcome level.
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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