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The phrase "observed an increase" is correct and usable in written English.
You can use it when you have noticed that something has grown or gotten bigger. For example, "The scientists observed an increase in the size of the coral reef over the past five years."
Exact(59)
Indeed we have observed an increase in the intensity of rainfall in this period.
More than half reported an increase in uncivil political discourse, and more than a third observed an increase in anti-Muslim or anti-immigrant sentiment.
We also observed an increase in P cc by hyperoxia.
We observed an increase from 31%to80%0%.
When we observed an increase in Series A fundings in the first quarter of 2015, we had two theories as to what was happening.
In the fetal liver, we also observed an increase in the exogenous miRNA level (Fig. 1D).
They observed an increase in the Nusselt number with the increasing volume fraction and Reynolds number.
We also observed an increase of endogenous PCNA NEDDylation in response to H2O2 treatment (Fig. 3D).
They also observed an increase in wavelength with increases in ion energies [22,23].
They observed an increase of this exponent with respect to relative humidity.
They observed an increase in permeability initially then a decrease for low injection rate cases.
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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