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"fluctuate minimally" is a correct and usable phrase in written English
You can use it whenever you want to describe an amount that fluctuates but not by much. For example: The number of employees at the company fluctuated minimally over the past year.
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Serum PSA levels fluctuated minimally in the normal range.
Instead, the system showed good stability at an average CSA of around 33.3 g L−1, and similar to the above analysis, the productivity and yield fluctuated minimally around the averages remaining within 2.1 and 2.9 %, respectively (Fig. 7b).
Figure 7 shows how the best CU modes obtain high matching ratios with the aforementioned rules, with all of the ratios being over 75% and fluctuating only minimally across different sequences.
Markets fluctuate.
"Things fluctuate," Mr. Di Rita said.
The last two fluctuate.
Markets do fluctuate.
Tips also fluctuate widely.
Did it fluctuate?
"And we fluctuate.
As I said, they fluctuate".
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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