go to great lengths means
“to make a lot of effort” or “to try to do something even at great expense or inconvenience,”
and in academic contexts in particular, it is often used to emphasize the precision of research, the validity of experiments, or the thoroughness of presentation preparation.
It is formally used as follows:
go to great lengths to + base verb

Three example sentences
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We went to great lengths to obtain accurate data.
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To test this hypothesis, the research team went to great lengths to control various variables.
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He went to great lengths to prepare for the presentation, even reading over 100 papers.
This expression can also be naturally used in sentences during a presentation, such as:
“We went to great lengths to ensure that our findings are statistically significant.”
“The team went to great lengths to minimize bias in the sample selection.”