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The phrase "and given the progression" is correct and usable in written English.
It can be used when discussing a sequence of events or developments that have occurred over time, often to introduce a conclusion or implication based on that progression.
Example: "The project has seen significant improvements, and given the progression, we expect to meet our deadlines ahead of schedule."
Alternatives: "considering the development" or "in light of the advancement".
Exact(1)
Notably, cell-based hits already fulfill some important criteria, including permeability issues (very troublesome in TB due to the impervious nature of the mycobacterial cell wall) and, given the progression criteria in the high-throughput screen, higher activity against mycobacteria than mammalian cells.
Similar(58)
Given the progression of the curriculum, Robson concludes that it took about a year for Sumerian scribes to learn how to multiply.
I am sorry but given the progression of the girth of most Kenyans, I vehemently beg to differ with the first half of this misconception about members of my sister's husband's tribe!
Dropouts due to lack of efficacy were uncommon (n = 8), but were to be expected given the progression of cancer.
Given the progression of global warming, risk assessments should be regularly updated to account for climatic changes.
Given the progression of his cranial neuropathies, he was admitted for repeat brain and orbit MRI, LP, and CT Angiography of the head and neck.
The patient had experienced no symptoms prior to the examination, and given the lack of observed progression, we were unable to estimate the period over which the mass developed.
All three doctors who were attending Albert Victor at his death in 1892 concurred that he had died of pneumonia, and given the timescale of syphilitic disease progression, it is highly improbable that Albert Victor had syphilis.
Jumboard also monitors the development of the child and gives the parent feedback on the progression of the child through their games.
Given the rapid progression and severity of the neuropathy and the findings of nerve conduction studies, a sural nerve biopsy was performed.
Given the quick progression and devastating nature of meningococcal disease, it is important for parents and students to be educated about its symptoms and how to prevent infection, including immunization.
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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