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"subsequently achieving" is a correct and usable phrase in written English.
You can use it when you want to refer to accomplishing something based on prior actions or work. For example: After studying for months, he subsequently achieved a perfect score on the final exam.
Exact(6)
A mother with a previous history of miscarriage may therefore be at greater risk for difficulties navigating the process of becoming a mother and subsequently achieving positive maternal-infant bonding with an infant born subsequent to the miscarriage.
This dose evaluation is the initial step to subsequently achieving patient dose optimization.
Furthermore, DMHBGKA must only recalculate the partial key from the place of a joining or leaving node to the root node, yet it does not need to recalculate keys of all members, subsequently achieving synchronization efficiently.
During the Allied Hundred Days Offensive that was launched on 8 August 1918, the battalion took part in the 8th Brigade's advance up the treacherous Morcourt Valley, subsequently achieving a considerable feat by capturing the town of Vauvillers.
Details were requested of samples stored from 1977 to 1987 and of successful use of this sperm in subsequently achieving pregnancy.
Thus the relatively acceptable toxicity profile in the study may suggest the possibility of a RT dose escalation to the primary tumor by helical tomotherapy, subsequently achieving a more favorable treatment effect.
Similar(53)
Prematurely cancelled after one 13-episode season it subsequently achieved notoriety as FX's lowest ever rated series.
The man described how he believed his signature shake was copied by the New York Mets and subsequently achieved worldwide recognition.
To these institutions he attracted many young scientists whose researches he inspired and stimulated and who subsequently achieved fame.
There she subsequently achieved prominence and was at her best in the many Handel roles written for her, as Cleopatra, Asteria, Rodelinda, and Antigona.
It's easy to sneer with hindsight, but the comments were entirely sensible – not even Mystic Meg could have envisaged the level of fame that Beckham would subsequently achieve.
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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