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The phrase "prohibitively challenging" is correct and can be used in written English
You can use it when describing a task or activity that may be too difficult or complex to consider or undertake. For example, "The calculus homework was prohibitively challenging for even the most experienced student."
Exact(4)
An effective long term intervention study on the effects of multiple lifestyle factors before pregnancy for the primary prevention of gestational diabetes, however, would require a large sample size and would be costly and prohibitively challenging to recruit a generalizable study population before conception.
Constructing in-vitro flow phantoms for this purpose can be prohibitively challenging, because simulating precise flow environments with nontrivial structures is often impossible using conventional methods of construction for flow phantoms.
You will learn to solve new classes of problems that were once thought prohibitively challenging, and come to better appreciate the complex nature of human intelligence as you solve these same problems effortlessly using deep learning methods".
However, the full assembly and analysis of a finished or high-quality draft genome sequence, as typically produced by large collaborative consortiums, remain prohibitively challenging and would be slow for individual labs interested in advancing research with their own study organisms.
Similar(54)
Calculating the effects of epistasis between alleles on three or more loci would be prohibitively computationally challenging.
Without a modern road network, doing business in Nigeria will remain prohibitively expensive and logistically challenging.
Generating primary data through interviews of doctors and patients will be prohibitively expensive and organizationally challenging, thus dampening enthusiasm for such studies all around.
Since many influenza cases are asymptomatic, identifying every case would necessitate serially screening the entire study population throughout the influenza season, which currently would be prohibitively expensive and operationally challenging.
Even so, inefficiencies may be prohibitively high, and challenges significant.
However, the number of EPs existing in adult bone marrow and circulating blood is prohibitively low, and amplification of EPs is challenging.
While it is clear that in the near future whole genome sequencing (WGS) will become routine, it is currently not feasible for two primary reasons: (1) the cost of sequencing the entire genome with an accuracy level sufficient to call all variants is still prohibitively expensive; and (2) the interpretation of the significance of these variants remains extremely challenging.
More suggestions(15)
very challenging
exceedingly challenging
disproportionately challenging
exceptionally challenging
tremendously challenging
overly challenging
unduly challenging
unrealistically challenging
prohibitively demanding
inordinately challenging
highly challenging
extraordinarily challenging
immensely challenging
prohibitively difficult
prohibitively complicated
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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