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The phrase 'there were some studies' is correct and usable in written English.
You could use this phrase to describe the results of a survey or investigation. For example, you might say: "A review of published literature revealed that there were some studies investigating the relationship between diet and cancer risk."
Exact(25)
There were some studies evaluating the correlations of flow boiling heat transfer coefficient for CO2.
"There were some studies, including our own research, that had predicted older driver crashes would become a bigger and bigger problem".
Amid great outcry that poor families are more debt averse than rich ones (and there were some studies that supported the claim), the new Labour government introduced tuition fees in 1999.What happened next shows that such fears were misplaced.
To date, although there were some studies on the effect of interactions of soil fauna on soil CO2 and N2O emissions, the role of soil fauna on CO2 and N2O emissions is far from settled, especially for a wide variety of soil and human practices.
More recently, there were some studies focusing on the energy management of IMS, and the proposed method can be classified into two types: centralized optimization and distributed optimation.
But there's more: Very hot beverages may carry some cancer risk enough to put them in category 2A, "probably carcinogenic to humans". For drinks above 65° C (149° F), including very hot coffee and maté, a type of tea, there were some studies that suggested a link to esophageal cancer, the IARC says.
Similar(35)
There were some study limitations.
There were some study population-specific associations.
There were some study limitations that should be considered when interpreting the results.
There are some studies on the multi-span beam vibration.
There are some studies say there are superstar cities in the US.
More suggestions(15)
there were some similarities
there were some flukes
there were some alarms
there were some perks
there were some jokes
there were some flops
there were some parameters
there were some issues
there were some lowlights
there were some people
there were some surprises
there were some restrictions
there were some glitches
there were some improvements
there were some '70s
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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