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The phrase "acceded to this" is correct and usable in written English.
It can be used when indicating agreement or consent to a proposal, request, or situation.
Example: "After much deliberation, the committee finally acceded to this request for additional funding."
Alternatives: "agreed to this" or "consented to this".
Exact(8)
The Board appears to have acceded to this demand.
Again, we acceded to this arrangement 30 years ago.
McSpadden acceded to this request, setting off a hubbub that raged through the talk shows.
On Aug. 3, 1940, the Supreme Soviet of the U.S.S.R. acceded to this request and declared Lithuania a constituent republic of the Soviet Union.
Within hours of being sworn in, Kelly got rid of Scaramucci, demonstrating that he intends to run a more disciplined West Wing and that, for now, Trump has acceded to this wish.
The Asahi Shimbun newspaper reported today that North Korea had already acceded to this request and would allow the family members in North Korea to emigrate, if they desire to do so.
Similar(52)
Ministers however are making clear that they have no intention of acceding to this request.
Other European countries should not in good conscience accede to this politically destructive, economically perverse programme.
He has come to Congress to ask that it increase sanctions until, presumably, Iran accedes to this.
When Putin oh-so-reluctantly accedes to this, all those resentful of U.S. power will applaud his statesmanship.
Labour – which cannot govern what is left of the UK alone, once Scotland leaves – should accede to this.
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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