Shaneelliss:
If your loading condition distributes the load to both channels equally, no weld would be required, except that you want the two channels to brace each other and act in unison. You have to use some engineering judgement in determining what connecting weld is required. If your load is applied to only one channel, and you expect it to transmit half that load to the second channel, then the weld must transmit that shear flow to the second channel. In the first case, I think I would grind or nibble a .125 or .1875" chamfer on both heel corners of one channel and fill it (concave) with weld, paying some attention to sequencing the welding to control final camber. If there are concentrated loads or real load transfer needed then some weld design is needed.