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The phrase "analysis shows that this" is correct and usable in written English.
It can be used when presenting findings or conclusions derived from a study or examination of data.
Example: "The analysis shows that this trend is likely to continue in the coming years."
Alternatives: "the findings indicate that this" or "the research reveals that this".
Exact(60)
Sensitivity analysis shows that this assessment result is robust.
The analysis shows that this method is reasonable.
Genetic analysis shows that this latter group originally included little more than a thousand people.
In fact, Downey's analysis shows that this is an important factor.
A bit of analysis shows that this reasoning applies to any positive offer.
At the same time, recent market based analysis shows that this represents a proven cash-based market.
Analysis shows that this reversal occurs because the tower heat transfer mechanism changes.
Kinetic analysis shows that this stabilization reflects a slower unfolding rate.
Sensitivity analysis shows that this model can be used to measure the volumetric mass transfer coefficient.
The theoretical analysis shows that this algorithm is locally superlinearly convergent.
Analysis shows that this model is reasonable to describe light scattering cross section of spheres.
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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