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"problems were solved" is a grammatically correct and commonly used phrase in written English.
It can be used in a variety of contexts to indicate that a certain issue or difficulty has been resolved. Example: "After months of negotiation, the problems between the two countries were finally solved through a peaceful agreement."
Idiom
Problem is thirty.
If a problem is 30, the problem is the person who sits 30 cm from the computer screen.
Exact(59)
Moments later the problems were solved.
If I was badly hurt, all my problems were solved.
The world's problems were solved in front of candy stores.
Mr. Schacht said that he would remain Lucent's chief executive until the company's problems were solved.
Once the pressing problems were solved, Ms. Foote began worrying about more distant concerns.
Wallis called in the FBI and the problems were solved with lawyers at great expense.
And Jack's barber shop, where the world's problems were solved snip by snip?
And yet all of these problems were solved over the next twenty years.
These and other logistical problems were solved by dispensing with a few unnecessary items.
The airport however said that the problems were solved for Christmas Day travellers.
I thought my problems were solved recently, when we bought a new car with a navigational system.
More suggestions(17)
problems were discovered
failures were solved
challenges were solved
problems were addressed
problems were investigated
problems were tackled
problems were responded
problems were removed
problems were settled
problems were alleviated
problem were solved
problems were reported
problems were detected
problems got solved
problems were intertwined
problems were anticipated
problems were found
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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