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The phrase "and the same methods" is correct and usable in written English.
It can be used when referring to previously mentioned methods that are identical or similar to those being discussed.
Example: "We applied the new techniques in our research, and the same methods were used in the control group."
Alternatives: "and the identical methods" or "as well as the same techniques".
Exact(23)
In the end, the polls were right in Scotland, but not in England: the same companies, and the same methods, produced very different results.
"If decisions continue to be made by one person, and the same methods are used, then, no, the Taliban will not return," he said.
The game is a perfect testbed for DeepMind's machine learning techniques, and the same methods by which it mastered Go will soon be put to use improving the voice-controlled assistants on Google's smartphones, and in the longer term on tackling problems with climate and healthcare modelling – an announcement on the latter of is coming later this week.
Later, using the same assumptions and the same methods of calculation used to assess the strength of the guardrail in a condition of degradation, the impact of a similar guardrail in perfect structural conditions was simulated.
The duvets, the pillow cases and the sheets are washed and ironed by the club, using the same washing powder and the same methods.
We also used a phylotype-based approach at the genus level and the same methods to compare the dissimilarity between wild and housed groups as OTUs-based approach.
Similar(37)
It is difficult to find democratic principles that would allow one group to use intimidation and violence, and deny the same methods to the other.
The EQ-5D is a very simple instrument to complete and will be collected at the same time and using the same methods as the other outcome data.
And incumbents could hardly claim the regulatory high ground if their response to allegedly illegal entry was to acquire the entrant and embrace the same methods.
His credibility may be impeached, and by the same methods as are pursued in the case of any other witness.
That necessitates the development of distributed design teams, located potentially in any country, working on the same designs and using the same methods.
More suggestions(15)
and the same measures
and the same tactics
and the same measurements
and the same principles
and the same steps
and the same procedures
and the differing methods
and the same devices
and the same processes
and the same approaches
and the same modes
and the same mode
and the same approach
and the same methodological
and the used methods
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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