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The phrase "a further progression" is correct and usable in written English.
It can be used when discussing an additional step or advancement in a process or development.
Example: "The research indicates a further progression in the understanding of climate change impacts."
Alternatives: "an additional advancement" or "a subsequent development."
Exact(10)
The presence of inhomogeneous perfusion could alert clinicians early to consider a more intensive monitoring of left ventricular function and potential additional treatments in order to prevent a further progression of microvasculopathy and the development of progressive allograft failure.
One was Stadium Super Trucks, a further progression of horsepower.
According to the musicologist Philip Gossett, whose 2006 book "Divas and Scholars: Performing Italian Opera" is a canonical text, DiDonato represents a further progression.
No significant accident management strategy that plays a great role in mitigating a further progression of severe accidents has been taken into account in the present analysis.
Antigone and Creon are, in this view, rather like pawns in the Hegelian dialectic his theory that thought progresses from a thesis (i.e., an idea), through an antithesis (an idea opposing the original thesis), to a synthesis (a more comprehensive idea that embraces both the thesis and antithesis), which in turn becomes the thesis in a further progression.
After Help!s foray into the world of classical music with flutes and strings, Harrison's introduction of a sitar on "Norwegian Wood (This Bird Has Flown)" marked a further progression outside the traditional boundaries of popular music.
Similar(50)
Release kinetics revealed an initial peak in the release of C14-ZOL with a slight further progression over the following weeks.
Two months of high fat diet resulted in extensive atherosclerosis covering 20% of the aorta reflecting the baseline disease at the time of vector; this increased to 33% over an additional two month period following treatment with the AAV8.TBG.nLacZ vector, representing a 65% further progression in atherosclerosis.
In the following days and weeks, only a slight further progression of CPM took place, indicating that approximately 90% of C14-ZOL had been released in an initial peak within the first 24 hours.
This cellular response to oncogenic proteins appears to provide a significant barrier to further progression towards a malignant state (reviewed in 34– 34).
The model hypothesised ITGCNU cells as equivalents of differentiation-arrested primordial germ cells (PGCs), which provide a basis for further progression into invasive TGCCs.
More suggestions(18)
a subsequent progression
a further trend
a further passage
a further stage
a further upsurge
a further development
a further completion
a deeper progression
a future progression
a greater progression
a further rise
a further promotion
a further progression
a further advance
a further prolongation
a further advancement
a further gradation
a further move
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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