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The phrase "a serious difficulty with" is correct and usable in written English.
It can be used when discussing a significant problem or challenge related to a specific issue or topic.
Example: "The team encountered a serious difficulty with the new software implementation, which delayed the project timeline."
Alternatives: "a major issue with" or "a significant problem with".
Exact(3)
But with the United States we had a serious difficulty with regard to night raids and civilian casualties, which has now improved after much work.
"Our economy is faced with a serious difficulty, with prices rising and the economy gradually slowing," Mr. Lee said in a speech intended to observe the anniversary of the earlier pro-democracy protests.
The project of The Analysis of Matter does indeed face a serious difficulty with "Newman's problem", whether or not those difficulties arise for the earlier project of logical construction (see Linsky 2013).
Similar(57)
The most serious difficulty with an HMM model is overfitting, which means that it represents the training sequences well but fails to generalise to related sequences not present in the training set.
Archer had gotten itself into serious difficulty with the government in 1996, paying a $100 million fine for the price-fixing of food and feed additives.
The idea of getting America moving again was central to Kennedy's programs - at least they thought it was a good political tack to take - but their perception was that we were in serious difficulty with the Soviets.
You add that it told you that it had attempted repeatedly to resolve the problem, but has had serious difficulty with this.
Inflation, interest rates and unemployment are low, so the chances of people running into serious difficulty with their mortgages are also lower than they were then.If these two much-talked-of threats are not as serious as is generally supposed, where's the problem?
One serious difficulty with this sort of grounding of special obligations is that it appeals to the psychological states of those to whom the obligations are owed.
The more serious difficulty with Dead Aid is the evidence base.
Even for people with mild depressive symptoms, 4% had serious difficulty with their daily activities and 42% had some difficulty.
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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