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The phrase "are still some problems" is correct and usable in written English.
It can be used to indicate that despite progress or changes, certain issues remain unresolved.
Example: "Although we have made significant improvements, there are still some problems that need to be addressed."
Alternatives: "there remain some issues" or "some challenges still exist".
Exact(53)
For long-baseline network RTK, there are still some problems faced, for instance the WL AR still needs to take over tens of epochs due to the influence of pseudorange noises and multipath effects; the NL AR model is weak since more parameters are introduced, thus much time is needed to guarantee the precision of float ambiguity solutions.
Yet there are still some problems.
But there are still some problems that daunt even a billionaire.
"There are still some problems out there, the euro situation being one".
"There are still some problems in some areas, but we can handle them".
There are still some problems to overcome, including concerns about headaches, games design and price.
Similar(7)
However, there were still some problems concerning engineering operation and management.
Or could it be that, in the 21st-century moviescape, there's still some problem with black women of reproductive age?
There are still some big problems in Poland, [but] these are similar problems to the ones business people face everywhere...how to find a customer, how to hire the right people, how to gain a competitive advantage.
Even though location estimation problems have been investigated extensively in the existing literature [1 6], there are still some unresolved problems.
However, there are still some major problems in its everyday clinical use.
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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