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"have previously undergone" is a grammatically correct and usable phrase in written English.
You might use it when referring to a prior experience or process. For example, "The candidates have previously undergone a rigorous screening process."
Exact(55)
But, significantly, known or established places of Indigenous cultural importance are not recognised under state legislation and, therefore, are ineligible for protection if they have previously undergone "significant ground disturbance".
It has been widely observed that the loading/unloading behavior of metals which have previously undergone plastic deformation is nonlinear.
However, CTA suffers from a lack of sensitivity, especially in patients who have previously undergone decompressive craniectomy.
Women with major pubovisceral muscle avulsions are more likely to develop POP and have previously undergone pelvic floor reconstructive surgery more often than those without levator trauma.
Moreover, the management of complex foot and ankle deformities that have previously undergone one or more surgical procedures is more difficult [8].
To assess whether there is an increased risk of infertility in women that have previously undergone ovarian stimulation and oocyte retrieval for oocyte donation.
Similar(5)
She had previously undergone cosmetic surgery at the facility and had returned for a second operation.
Most (56; 65.9%) had previously undergone radical prostatectomy (RP), with 27 having received RT (± other therapy).
If they had previously undergone SIS or office hysteroscopy, they were excluded from analysis.
A limited number of patients had previously undergone treatment of liver lesions, mainly surgical resection.
The patient had previously undergone surgery and radiation for this disease.
More suggestions(14)
have previously participated
have previously contributed
have previously recognized
have previously endured
have originally undergone
have previously suffered
have previously understood
have previously conducted
have previously encountered
have previously produced
have previously demonstrated
have previously introduced
have ever undergone
have recently undergone
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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