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Discover Ludwig'had solved' is correct and usable in written English
You can use this past participle verb form when discussing past events that have already been completed. For example: "She had solved the complex math problem before I even began to try."
Exact(58)
I had solved the puzzle.
Now we had solved it".
"By then, the problem had solved itself".
Gutenberg had solved the wrong problem.
He had solved the authorship debate.
Not that we had solved the problem.
Within a week, Dr. Lander had solved the problem.
"We had solved most of the problems," he said.
I thought I had solved it when I hadn't.
Similar(2)
"Art has solved a problem.
I have solved a rebus!
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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