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The phrase "remained on the level" is correct and usable in written English.
You can use it when describing a situation in which someone or something has stayed constant or steady, or has not changed. For example, "Despite the recent market turbulence, the company's stock has remained on the level."
Exact(6)
But the interpretations put forward, even when they were founded partly on accurate observation, most often remained on the level of myth.
On the other hand, transport costs from Finland to country 2 have varied annually, yet in the end remained on the level of 2001.
Interestingly, when using the attenuation map derived from 300-s emission data for AC and SC, no such increase in halo artefacts with reduction of acquisition duration was observed, and halo scores remained on the level of 300-s emission data (Fig. 2).
Subsequently, the number of pathways down regulated remained on the level of the experimental error.
HSP70a1 and gluthatione-reductase mRNA expression in the DiabCin group remained on the level of healthy controls (Fig. 2c).
However, in most cases the intention to carry out the index threat was low and remained on the level of passive thinking.
Similar(54)
Finally, I felt the students developed a more personal approach to literature by answering questions about the production of art rather than remaining on the level of reception.
After 300 cycles at charge/discharge rates of 0.2 C the cell showed a very good cycling stability with its capacity remaining on the level of 87%.
Much of these connections remain on the level of conjecture, but they may illuminate some of the lost secrets about how the Auburn System spread across the Northeast in the first part of the 19th Century.
Several challenges exist despite the potential benefits, and questions remain on the level of evidence needed to support product approval or labeling.
In the case of Perception, the emergent new shape of consciousness, the Understanding, explored in Chapter 3, is a shape identified with the type of scientific cognition that, rather than remaining on the level of the perceived object, posits underlying forces involved in the production of the perceptual episode.
More suggestions(15)
demonstrated on the level
stay on the level
another on the level
remained on the bench
remained on the rise
remained on the rooftop
remained on the bed
remained on the heart
remained on the staff
remained on the job
remained on the clock
remained on the field
remained on the team
remained on the faculty
remained on the court
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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