Big O: use of min and max

Hi all,
I have a basic question in context of Big O.
Q: Is it correct to use min and max , in interview, to specify Big O?
e,g is O(max(m, n) log(max(m, n))) as mentioned here correct or is m log m + n log n more correct?
Asking because in Big O chapter in CTCL we use O(m log m + n log n) (example 8 , page 49 , Chapter VI)

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