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The phrase "are approximately constant" is correct and usable in written English.
It can be used in contexts where you want to describe a value or condition that remains nearly unchanged over a period of time or under certain conditions.
Example: "The temperature readings from the experiment are approximately constant, indicating stable environmental conditions."
Alternatives: "remain roughly the same" or "are nearly stable."
Dictionary
Exact(30)
The experimental R/V results are approximately constant except in the low voltage region where they are nonlinear.
Suppose that signals are transmitted in blocks of time samples, over which interval the fading coefficients are approximately constant.
The precipitation pattern has two maximum and two minimum periods, and temperatures are approximately constant throughout the year.
The slopes of the cathodic and anodic Tafel lines are approximately constant and independent on the inhibitor concentration.
The synaptic reversal potentials V rev i j are approximately constant within each population: V rev i j : = V rev α γ.
Secondary inputs are approximately constant across projects, either due to the nature of these factors, or because they tend to be standardized.
Similar(30)
By approximating also by, (5) shows the following ratio is approximately constant: (17).
The corrosion rate is approximately constant in spite of increase of moisture content more than 40%.
Within one epoch, the average fitness in the population is approximately constant.
Again, the curvature across the molecule is approximately constant; average, approximately 0.11 Å-1.
The curvature across the molecule is approximately constant (with thermal fluctuations); average, approximately 0.27 Å-1.
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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