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The phrase "a much more difficult" is correct and usable in written English.
It can be used when comparing the difficulty of two or more things, emphasizing that one is significantly harder than the other.
Example: "This math problem is a much more difficult challenge than the previous one."
Alternatives: "far more challenging" or "considerably harder".
Exact(58)
It's a much more difficult battle".
"Papademos has a much more difficult situation.
Portland face a much more difficult task.
We expected a much more difficult process".
But a much more difficult struggle over women bishops looms.
But 2013 will be a much more difficult test.
That's a much more difficult question to answer.
She chose a much more difficult, yet rewarding option.
That is a much more difficult and complicated goal.
Crosby poses a much more difficult problem for Cameron.
That's going to be a much more difficult question to answer".
More suggestions(16)
a far more difficult
a much more complex
a significantly more difficult
a much more serious
a much more troublesome
a much more harsh
a much more sticky
a much more tricky
a much more delicate
a considerably more difficult
a much more challenging
a much more stable
a much more controllable
a much more apt
a much more realistic
a much more nuanced
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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