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"primary findings" is a correct and commonly used phrase in written English.
It refers to the main or most important results or conclusions of a study or research project. Example: "The primary findings of the study showed a significant correlation between exercise and increased longevity."
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Our primary findings are reported here.
There are two primary findings.
Two primary findings were obtained.
The primary findings are summarized in Figure 1.
Primary findings for both studies have been published.
This paper highlights the primary findings in manufacturing and characterizing of DSF modified cement-based materials.
A comprehensive numerical analysis program is conducted, and the primary findings are described herein.
The students' engagement when using the strategies was examined to reach the primary findings.
The primary findings from our study suggest the holiday season results in significant increases in BW and BF% (0.78±0.1 kg and 0.5±0.2%, respectively).
Exploratory factor analyses and two-step structural equation modeling performed on the collected data led to three primary findings.
One of the primary findings concerned the relationship between investors' political optimism and their propensity to hold domestic stocks.
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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