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The phrase "achieved it without" is correct and usable in written English.
It can be used when discussing accomplishments that were attained without certain resources, assistance, or conditions.
Example: "She achieved it without any prior experience in the field, showcasing her remarkable talent."
Alternatives: "accomplished it without" or "attained it without".
Exact(3)
I love my job and I don't think I could have achieved it without the support of the hospital and my colleagues in the [X-ray] department," she says.
I could not have achieved it without any of them.
It is an honour for me but I couldn't have achieved it without the help of my team-mates, who have been immense this year".
Similar(57)
And Republic, which has operated in its current form for 10 years now, thinks it can achieve it without even needing to convert people like Mrs Adkin.
Cumberbatch was adding a rare white voice in support of the growing number of black actors who are trying to encourage change in a sector which sorely needs it, yet seems incapable of achieving it without relentless pressure and coercion.
This means also that without revelation human beings are unaware of their destiny, either individually or collectively, and are unable to achieve it without the entrance of the supernatural into the world of history and experience.
($10) YSL Shocking The lush, dewy lash look was everywhere at recent shows, but how to achieve it without applying gobs of mascara that may lead to unattractive black smudges around the eyes later?
But it's fast enough that ordinary mortals (especially those in their 40s) can't achieve it without applying themselves seriously to a training schedule – and it means that for the foreseeable future, my finish time at least starts with the same number as those of the fastest runners in the world, which is nice.
It may be somewhat "crazy" to think they can achieve it without the support of their counterparts around the world, but it is certainly worthy of our active encouragement.RICHARD WASTCOATFidelity Investments Tonbridge KentMasking inflationSIR In "What's in a nought?" (August 9th), you mention that the French moved their decimal point two places to the left in 1960.
"If we educate our young people that Japan needs to become more multiracial to tackle the population problem, I think we can achieve it without causing major problems".
"What was really amazing about the solicitation was that it, in effect, asked people to describe what they need, and then to come up with creative ways to achieve it, without regard to the budget," marvels UTEP's Aguilera.
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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