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The phrase 'the less increase' is correct and usable in written English
You can use it when describing a decrease or relative decrease in something. For example: "The company had expected to see strong sales growth this quarter, but instead there was actually the less increase compared to last quarter."
Exact(2)
Therefore, the enhancement of GPX and GST activities may be two important reasons of the less increase of GSH content under severe HT stress.
Therefore, the less increase of GSH in 40 °C-treated leaves may be due to decreased activities of GR and/or the reaction of GSH with oxyradicals generated due to oxidative stress.
Similar(55)
On the other hand, the demonstrated higher increase of octanoate concentrations in blood of patients during SPAD treatment may contribute to the less increased ABiC in comparison to MARS treatment [ 11].
It was found that decreasing rigidity of the annular plate exhibits less increase of the natural frequencies than that of a rigid plate.
In general, estimates of the prevalence of myopia have shown less increase in the Western world than in Asia, and less increase in rural than in urban populations [ 1, 10, 12- 16].
The treatment group had less increase in intracranial pressure.
In fact, the latter group show less increase in subarachnoid space with increasing body weight than CKCSs.
Tariff model 3 provides a 1.3 MW larger storage capacity and has an 11 MW less increase in the maximum peak demand compared to tariff model 1.
Compared to tariff model 2, it provides a 1 MW larger storage capacity and a 7.5 MW less increase in the maximum peak demand.
The more marked increase in HDL-cholesterol levels in non-manual groups, unrelated to medication use, may reflect the less marked increase in adiposity in non-manual participants.
The more and more finely you segment an audience, the less the increase in your return on investment".
More suggestions(4)
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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