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"shows a tendency" is a correct and commonly used phrase in written English.
It is typically used to describe a pattern or inclination towards something, without being a definitive or absolute behavior. Example: "The data from the study shows a tendency for women to live longer than men."
Exact(60)
He shows a tendency to linger in passages calling for slow tempos but usually succeeds in making them inspired.
In fact, the nearest thing they have to an inner life is the phoney identity assumed for the undercover adventure, an identity that shows a tendency to subvert what there is of the real thing.
Figure 6 shows a tendency for homophily in communication.
A lilac line shows a tendency of the eruption rate.
The average line shows a tendency for better hitrate as the mean value increases.
The result of the comparison shows a tendency towards the packaging of information and abstraction.
A lilac solid line shows a tendency of the eruption rate.
Figure 7 also shows a tendency for reduced placement error with smaller preloading probe diameters.
This dependence shows a tendency to saturation, indicating that almost all the silica has reacted.
It means that water shows a tendency to ideally spread over the surface.
It is also found that the optimized side-length shows a tendency of increasing with the gap size.
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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