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The phrase "a problem of keeping" is correct and usable in written English.
It can be used when discussing issues related to maintaining or retaining something, such as information, resources, or commitments.
Example: "The team is facing a problem of keeping track of all the project deadlines amidst the numerous changes."
Alternatives: "an issue of maintaining" or "a challenge of retaining".
Exact(1)
It's a problem of keeping users interested amid the rise of whatever app is the next big thing.
Similar(59)
It's a lighthearted solution to a serious problem of keeping Facebook interesting and personalized.
LickYourSole - Zamarin's first venture After joining Startup Corps, Zamarin started his first venture LickYourSole during his freshman year, the idea coming from a personal problem of keeping his shoes clean and new as a sneaker head.
This paper also considers a related problem of keeping all users within the transmission range while determining the UAV position that maximizes throughput.
Though damned across the spectrum, the camp offered a solution to the problem of keeping dangerous detainees out of circulation.
It added that the architect had "solved the problem of keeping an astronaut down in his bunk by providing a strap to go across his waist, but he said he wasn't sure this was the best solution, because the head and feet would be left floating.
USA TODAY Why Facebook Is Paying the Tax Tab on Employee Compensation | Facebook's restricted stock program was a clever solution to the problem of keeping the company private under securities laws, but it left its employees with a tax problem, writes Victor Fleischer in the Standard Deduction column.
The problem of keeping an encyclopaedia up-to-date has two facets: the first is to assure that any one printing or edition is as up-to-date as possible at the time of its preparation, and the second is to make it possible for purchasers of a print set to maintain the set in an up-to-date condition.
Well, okay, so astronauts aren't likely to start asking 'are we there yet?' or get sick on the ferry, but the problem of keeping an even psychological keel during space flights (it's seven months to Mars for example) is very real.
Of course, technology features are only a partial solution to the larger problem of keeping e-cigarettes out of the hands of teens.
It is an engineered solution to the vexing problem of keeping the nearby Colorado River free of agricultural wastewater too heavy in salt compounds for drinking water and other uses.
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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