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"was accomplished based on" is a perfectly grammatical and usable part of a sentence in written English.
You can use it whenever you need to express that a goal or task was achieved due to a certain set of criteria. For example, "The project was accomplished based on the guidelines provided by the client."
Exact(13)
The surface tension measurement was accomplished based on Tate's law [48].
A human health risk assessment was accomplished, based on conservative assumptions.
The detection of a complementary oligonucleotide at a femtomolar (~10−15 M) level was accomplished based on the ion-channel sensor technique using Au electrodes modified with self-assembled monolayers of the PNA probe and 8-amino-1-octanethiol [287].
Identification of metabolites in spectra was accomplished based on literatures and the Chenomx NMR Suite 5.0 (Chenomx, Calgary, Canada).
Transcriptome assembly was accomplished based on the left.fq and right.fq using Trinity [ 14] with min_kmer_cov set to two by default and all other parameters set default.
Transcriptome assembly was accomplished based on the left.fq and right.fq using Trinity [ 41] with min_kmer_cov set to 2 and all other parameters set default.
Similar(47)
Such an AP selection task can be accomplished based on feedback information or pilot signals.
This is accomplished based on real-time measurements of frequency magnitude or ROCOF value.
Simulation results show that precise attitude control is accomplished based on the proposed method.
The conceptual design of the proposed process is accomplished based on process simulation.
The time of flight estimation is accomplished based on the evaluation of the peak position of the cross correlation function.
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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