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The phrase "there were no fundamental differences" is correct and usable in written English.
You can use it when discussing a comparison or analysis where you want to emphasize that two or more subjects are essentially the same in key aspects. Example: "After reviewing both proposals, it became clear that there were no fundamental differences between the two approaches."
Exact(1)
However, the comparison of demographics and overall health care utilization rates suggested that there were no fundamental differences between the two regions and Bavaria as a whole.
Similar(59)
It suits both to play the "good cop, bad cop" role from time to time, but in reality there are no fundamental differences between the two.
We kept telling them that there are no fundamental differences between us.
And there are no fundamental differences within NATO in assessing the state of affairs inside Russia; the discussions, however, are on the tactical level, about how to move ahead.
There are obvious differences between a human's spinal cord and a frog's, he says, but "there are no fundamental differences, meaning I don't see any reason [similar experiments] would not eventually work [in humans]," Levin says.
However, the data suggest that there are no fundamental differences between the groups.
There are no fundamental differences in the characteristics that determine child nutrition outcomes in urban and rural areas.
In conclusion, there are no fundamental differences in the early symptoms of disease between anti-CCP-positive RA patients and anti-CCP-negative RA patients.
In the allometric space, the two lineages appear to overlap to a considerable degree, suggesting that there are no fundamental differences in allometries between them.
The results of these experiments indicate that there are no fundamental differences in the experimental design and the assessment of the responses in relation to whether the calls "refer to" some external event such as the presence of a predator, or variation in arousal or internal state [Wheeler, 2010].
A core set of determinants – wealth index (which incorporates ownership of assets and access to sanitation and drinking water), maternal education and spouse's education – accounts for a very large proportion of the covariate effects in both countries, which suggests that there are no fundamental differences in the socio-economic determinants of child nutrition outcomes in rural and urban areas.
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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