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The phrase "a comparatively simpler" is correct and usable in written English.
It can be used when comparing the simplicity of one thing to another, indicating that it is simpler in relation to something else.
Example: "This method is a comparatively simpler approach to solving the problem than the previous one."
Alternatives: "a relatively easier" or "a more straightforward".
Exact(3)
In these cases the SAGE algorithm proves to be effective as it achieves the same final result with a comparatively simpler iterative procedure.
Therefore, we have analyzed a comparatively simpler expression system that is exclusively controlled by Hog1p.
The authors elaborate on their conceptual framework by applying it to two case illustrations: a relatively complex sociotechnical system (a nuclear power plant) and a comparatively simpler system (a fast food restaurant).
Similar(55)
For such a wealthy writer, he leads a comparatively simple life.
Whether you then decide to recommend her for a job will be a comparatively simple matter.
It began as a comparatively simple idea: he was going to start a record label, called Andante.
Sediments gradually accumulate on top of these, producing a comparatively simple pattern of sediment, basaltic basement, gabbroic layering, and underlying mantle structure.
Music, differentiated as it may be in the countries between Morocco and India, follows the same model: variations of highest subtlety on a comparatively simple given subject or theme.
Andrea J. Prasow, one of Mr. Hamdan's lawyers, said her experience in a comparatively simple Guantánamo case showed the extraordinary complexities that seem certain to entangle all of the battles here.
Even before the fire Arup Associates had drawn up plans for converting the buildings behind the hall, and it was a comparatively simple task to develop these and rearrange the functions.
So stopping the spread of a disease such as AIDS may be a comparatively simple matter of getting treatment to the right people a strange but real corollary to a piece of research on cyberspace.
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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