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"results demonstrate" is correct and usable in written English.
You can use it when you want to present evidence that supports a point you are making. For example, "The results demonstrate that increasing investment in renewable energy sources is essential for environmental sustainability."
Exact(60)
"Today's results demonstrate the tremendous progress we're making in all of our businesses around the world".
"These results demonstrate we are progressing well in building a business for the future," he said.
The results demonstrate how much difference hockey avidity can make.
Experimental results demonstrate this promising research direction.
Simulation results demonstrate all these aforementioned properties.
The results demonstrate its effectiveness.
Experimental results demonstrate this fact.
These results demonstrate an attack that could be created offline, and then broadly shared….
"Our 2015 results demonstrate that Intel is evolving and our strategy is working.
Our improved results demonstrate the significant progress we have made in executing our strategy.
Analysis results demonstrate a sufficient correlation.
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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