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The phrase "a challenging process to" is correct and usable in written English.
It can be used when describing a task or situation that requires significant effort or skill to accomplish.
Example: "Learning a new language can be a challenging process to navigate, especially for beginners."
Alternatives: "a difficult task to" or "a demanding journey to".
Exact(5)
It is only the beginning of a challenging process to responsibly empty the prison that will likely take many months.
Denitrification will continue to be a challenging process to study for many decades to come.
Denitrification has always been a challenging process to measure (Groffman et al. 2006), primarily due to the difficulty of quantifying the flux of N2 from soil against the high natural atmospheric background of this gas (Yang & Silver 2012).
The glucose-insulin system is a challenging process to model due to the feedback mechanisms present, hence the implementation of a model-based approach to the system is an on-going and challenging research area.
The high-temperature treatment of wood is essentially a drying process under linearly-increased gas temperature up to final temperature of 220 230 °C which is a challenging process to model.
Similar(55)
In total 46 sports will receive investment through each sport's governing body following a "robust and challenging process" to assess the quality of their plans and their ability to deliver for community sport and talent development.
"It's been a very difficult, fascinating and challenging process" to juggle competing visions of what the museum should be, she said.
However, it is a very time-intensive and challenging process to earn enough traffic to make appreciable sums of money.
The development of state-of-the-art wireless communication transceivers in semiconductor technology is a challenging process due to complexity and stringent requirements of modern communication standards such as IEEE 802.11n.
Setting up a work study program is a challenging process due to its variation by location and institution.
Capturing accurate data in Mumbai's slums is a challenging process due to varying household numbers, the difficulty of accessing densely populated areas, and the government's reluctance: if they don't have the numbers, then they don't have to react.
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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