The phrase "and while the rationale" is correct and usable in written English.
It can be used when discussing the reasoning or justification behind a particular action or decision, often in a context where contrasting ideas or conditions are being presented.
Example: "The project was delayed, and while the rationale for this decision was clear, it still frustrated many team members."
Alternatives: "and although the reasoning" or "and even though the justification".
Next, in the present state of theorizing and experimenting, while the rationale for default interpretations is strong, some of the properties of such interpretations are still in need of further investigation.
And while the policy rationale for such welfare bans is weak, the harm caused by them is abundantly clear.
And while the only rationale for granting sources anonymity is so they will tell you the truth, Sanger, for instance, quotes an unnamed "senior intelligence officer" as saying: "Every time I've looked into a report of numerous civilian deaths, it tracked back to a Pakistani F-16 strike, or something similar".
While the rationale has been primarily for logistical and resource utilisation purposes in the past, it has recently become better appreciated that prostate cancer may have unique radiobiological properties (increased ability to repair damage).
While the rationale targeted economic sustainability, it was clearly regressive, and in its focus on the rich, while neglecting the poor, did not fit with the HSSMP focus.
While the rationale for the differential expression of TGF- β and its receptors in specific bystander cell types is not known, it is clear that the TGF- β signalling pathway is involved in bystander responses in non-targeted lung tissues.
While the rationale for the public educators for their high pay is experience and advanced training, most of the Catholic educators have the same qualities.
While the rationale for the ban on bake sales was student health, the raffle ban was judged to be a potential legal liability.
While the rationale for his father's generation had been about peace after decades of war, for today's generation it was about sharing power collectively.
While the rationale for intervening will always be based on an interpretation of national interests, the levels of local, regional and international support will influence its chance of success.
