If he insists on sod, be sure to keep to vigor up. Use irrigation and fertilize heavily, (charging accordingly) so that it has the fastest recuperative potential possible. Aerate and add seed often, (and charge accordingly). Use a top quality, wear resistant, vigorous, high-rhizome-type Kentucky bluegrass --like "Limousine", (and charge accordingly). For faster germination, also add a top quality dark green rye like "Zoom". Of course the urine spots will add excess fert in small spots.
Also, force the dogs to spread out the damage path. Place a lot of lawn chairs, picnic tables, bicycles and other obstructions in the path so they will have have to avoid the obstacles. Or...fence so that they will run on the left side during odd numbered weeks, giving the turf on the right side time to recover. Easier to use a radio fence system--moving the wire as needed. And maybe block their view--so they can't see the mail carrier to bark at. Build fence or plant bushes (and charge accordingly). If necessary--lay paving stones so a small path of concrete stones absorbs most of the punishment. Or...use one of the plastic egg crates sports turf stabilization systems. So the grass grows in between, but the plastic absorbs any excess wear.