I believe that 9ths are not commonly added to half diminished chords. If we wanted to write all the diatonic 7th chords of the E♭ Major scale, with the 9th added, we would have for example on the VI degree the notes C, E♭, G, B♭, D (the 9th), making it a C-9 chord, but the VII degree would be D, F, A♭, C (with no 9th added), becoming D-7♭5.
I understand that any notes are permitted in music, but, why is this common practice? Is this correct?