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"trends show that" is a correct and usable phrase in written English.
You can use it to indicate that certain events or practices have been observed to have a particular tendency or pattern. For example, "Trends show that consumer spending has increased over the past ten years."
Exact(60)
"Fashion trends show that white is very in," he said.
Hard scientific facts and trends show that couldn't be farther from the truth.
Year-over-year trends show that inventory has increased by 10%; account receivables up 10.5%; finance receivables rose by 20.5%; finance debt has ballooned to 20%–all of which cannot be justified by the 6% growth in revenue.
Trends show that GovTech sector off-late is pushing for open data.
And trends show that the cost has been going up, not down.
These trends show that employment and entrepreneurship aren't substitutes but complements.
The latest market trends show that investors are cautiously stepping back into stocks.
Experimental trends show that the heat transfer coefficient decreases with increasing saturation temperatures.
Research development trends show that the use of the eye-tracking method has proliferated recently.
The trends show that the reconstructed velocity time series is free from spikes and noise components.
Current trends show that more and more health care revenue will be tied to patient and provider behavior.
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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