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happy n.  and  junction n.

First numbers that belong to both sets:

103, 109, 208, 313, 319, 404, 608, 622, 709, 818, 820, 913, 921, 923, 1003, 1009, 1112, 1114, 1209, 1211, 1215, 1411, 1512, 1518, 1607, 1724, 1815, 1821, 1825, 1920, 2008, 2019, 2109, 2111, 2115, 2206, 2212, 2309, 2313, 2422, 2511, 2517, 2620, 2715, 2717, 2725, 2818, 2919, 3013, 3020, 3026, 3209, 3213, 3308, 3310, 3312, 3823, 3920, 3926, 4004, 4111, 4222, 4414, 4418, 4517, 4525, 4715, 4721, 4725, 4814, 4824, 5112, 5118, 5211, 5217, 5417, 5425, 5524, 5712, 5714, 5718, 5722, 5724, 5817, 5821, 6008, 6017, 6023, 6107, 6220, 6616, 6719, 6830, 6917, 6923, 7009, 7124, 7215, 7217, 7225, 7415, 7421, 7425, 7512, 7514, 7518, 7522, 7524, 7619, 7815, 7916, 7930, 8018, 8020, 8033, 8115, 8121, 8125, 8218, 8323, 8414, 8424, 8517, 8521, 8630, 8715, 8818, 8929, 9013, 9021, 9023, 9032, 9120, 9219, 9320, 9326, 9617, 9623, 9716, 9730, 9829, 9928, 10003, 10009, 10029, 10033, 10112, 10114, 10209, 10211, 10215, 10411, 10512, 10518, 10607, 10724, 10815, 10821, 10825, 10920, 11012, 11014, 11015, 11021, 11025, 11105, 11113, 11208, 11210, 11214, 11220, 11311, 11408, 11410, 11412, 11519, 11521, 11618, 11719, 11816, 11820, 11824, 11915, 11917, 12009, 12011, 12015, 12018, 12022, 12108, 12110, 12114, 12120, 12213, 12219, 12312, 12314, 12318, 12407, 12411, 12413, 12419, 12508, 12510, 12617, 12625, 12716, 12726, 12813, 12823, 12912, 12914, 12922, 13023, 13111, 13212, 13214, 13218, 13307, 13309, 13323, 13412, 13418, 13626, 13717, 13812, 13814, 13818, 13822, 13824, 13929, 14011, 14018, 14108, 14110, 14112, 14207, 14211, 14213, 14219, 14312, 14318, 14516, 14526, 14615, 14617, 14625, 14716, 14720, 14724, 14813, 14821, 14823, 15012, 15018, 15021, 15027, 15119, 15121, 15208, 15210, 15416, 15426, 15519, 15614, 15622, 15624, 15628, 15820, 15826, 15915, 15929, 16007, 16118, 16217, 16225, 16326, 16415, 16417, 16425.

Some larger examples :