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The phrase "after achieving this" is correct and usable in written English.
It can be used to indicate a sequence of events, specifically referring to the completion of a task or goal before moving on to the next step.
Example: "After achieving this milestone, we can begin the next phase of the project."
Alternatives: "upon completing this" or "after reaching this goal".
Exact(8)
After achieving this state, the airbag begins to deflate, thus providing a nice cushion for the body impacting it.
After achieving this, he can snap in and out of character instantly.
PNs/HCAs will only deliver the intervention as part of the main trial after achieving this level of competence.
However, if after achieving this level, they exerted more force, they were able to increase the "reward" obtained (yield of apples) further.
Near- and/or final height (FH) was commonly defined, recognising that children may continue to grow after achieving this definition, for patients in whom both the chronological age (CA) and BA were at least 14 yr for females and 16 yr for males [ 15].
Soon after achieving this goal, try to read 200 words a minute and so on.
Similar(51)
After achieving the 'bare minimum' last term, United were supposed to kick on this time.
We follow this recommendation and gave therapy for at least 3 6 months after achieving the target response.
We stopped recruiting patients after achieving the required sample size.
Think about the outcome after achieving the task.
Find the means by which it will happen for you and go after achieving those means.
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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