OF WHICH

“Nothing like the RAND of the early 1950s has existed before or since. It was the original think tank, a strange hybrid of which the unique mission was to apply rational analysis and the latest quantitative methods to the problem of …”—A BEAUTIFLE MIND by Sylvia Nasar

Can I move “of which” in the above sentence like this?
“It was the original think tank, a strange hybrid, the unique mission of which was to apply rational analysis and the latest quantitative methods to the problem of …”

To me your version seems more precise and elegant. Both are not used colloquially, as you are no doubt aware.

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Yes, you can.

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