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"obtained the position" is a correct and usable phrase in written English.
You can use it when you are discussing someone achieving a certain job, role, or responsibility. For example: "After months of searching for a job, Susan finally obtained the position of marketing director."
Exact(11)
Using a genetic algorithm, we obtained the position, dip, strike length, width and opening of a dislocation source based on the combined data.
Dr. Fan successfully obtained the position of diagnostic bacteriologist on the team, with the responsibility of ensuring the safety of blood and blood products.
Galileo also studied disegno, a term encompassing fine art, and in 1588 obtained the position of instructor in the Accademia delle Arti del Disegno in Florence, teaching perspective and chiaroscuro.
It was through de Mirbel that Delahaye had obtained the position of Head Gardener at Malmaison, based on his successful restoration of the gardens at Le Trianon and also Marie Antoinette's old garden at Versailles.
Charles then applied and obtained the position.
By comparing repeat masked genomic sequences to raw sequences, we obtained the position and length information for REs.
Similar(49)
A program created specifically for these experiments (in Matlab) obtained the positions of the target coin from a specified Gaussian distribution.
An algorithm of arc interpolation is used to obtain the position of points on the CTP.
(31)We can obtain the position of the object from Eq. (31).
ETSI geonetworking specification includes a location service to obtain the position information of other nodes.
Cathodoluminescence can be a direct method to obtain the position of one single QD [9].
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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