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The phrase "a harder problem" is correct and usable in written English.
It can be used when comparing the difficulty of problems, indicating that one problem is more challenging than another.
Example: "Solving this equation is a harder problem than I initially anticipated."
Alternatives: "a more difficult issue" or "a tougher challenge".
Exact(40)
It's a harder problem.
The new cases present a harder problem.
That is a harder problem.
Structure is a harder problem to solve.
"It is a harder problem," Mr. Lovejoy said.
A harder problem is three coincident birthdays, which requires a group of 88 people.
Similar(20)
That calculation requires measuring the x-rays' intensity and determining their phase, the relative timing--a harder problem traditionally solved by comparing the diffraction pattern from a pure crystal with one from a similar crystal in which heavy metal atoms substitute for some components of the crystal.
It was a hard problem then.
This is a hard problem.
In general that's a hard problem.
"This is a hard problem," she said.
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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