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The phrase "are steadily progressing" is correct and usable in written English.
It can be used to describe a situation or process that is improving or moving forward at a consistent pace.
Example: "The team has been working hard, and they are steadily progressing towards their project goals."
Alternatives: "are making consistent progress" or "are advancing steadily."
Exact(2)
Research and development in the field of green infrastructure are steadily progressing, determining aesthetic improvements as well as environmental, social and economic benefits.
For glaciers on the Amundsen Sea that the West Antarctic Ice Sheet, their grounding lines are steadily progressing inland.
Similar(58)
Their development is steadily progressing.
However, our work is steadily progressing and should be allowed to run its natural course.
Hudson's disease is steadily progressing; muscle that he loses now is gone forever.
Development of Power Pinch Analysis (PoPA) for the design and optimisation of Hybrid Power Systems (HPS) is steadily progressing.
Revis's rehabilitation is steadily progressing and he should be healthy by the start of training camp.
Flip chip technology is steadily progressing toward smaller devices and higher IO count which leads to smaller bumps and bonds.
In the meantime, however, the rebranding effort — the attempt to change how Mexicans see Tlatelolco, from the sky and the ground — seems to be steadily progressing.
Max Verstappen loves an overtake and he is steadily progressing through the field.
BlackBerry is steadily progressing in the business segments that it has targeted.
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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