The SUsdgBF(3) limit of pn-sdgIBFM, which was developed earlier, is applied with success in analyzing the recently observed M1 data in the Dy-163 nucleus. As new experiments are being planned for Gd-157 nucleus and that Gd-156 is known to be a good SUsd(3) x 1g nucleus, in the second part of the paper a formalism for M1 distributions in the SUsdBF(3) x 1g limit is developed. In both these analytically solvable limiting situations, predictions are made for M1 distributions in the Gd-157 nucleus.