For example your water in is 5 gpm, your pump is capable of 3.5 gpm but your water out is 7 gpm.
It's the pump that moves the water, not the other way around. If the pump is rated at 3.5 gpm (assuming it is being run at design speed) it
pulls 3.5 gpm from the water box or faucet and
pushes 3.5 gpm into its outlet. If the hose and jetting are too restrictive to accept 3.5 gpm, then the pressure builds until the regulator opens and bypasses some of the water. Thus the flow into (and out of) the solution hose would be 3.5 gpm
or less under any condition. These pumps are positive displacement and water is incompressible, so the flows must add up to 3.5. For the example pump - 3.5 in, 3.5 out, and if, say, 2 gpm is flowing in the solution hose then 1.5
must flow into the reg bypass. At no point could there be more than 3.5 total flow.
If the hose and jetting are less restrictive, then the pressure drops, the reg eventually stops bypassing water but the pump
still moves 3.5 gpm, just like clockwork. At some point all the flow is going into the hose and none out of the bypass.
How about a mental exercise? Think of a block of wood with a hole drilled in it. Insert a long solid steel bar all the way through the hole. Now push the bar
in one inch. Where the bar exits the hole, how much did the bar move? One inch, obviously. Can you think of a situation where you would push the bar
in an inch and two inches of the bar would come
out the other side? Of course not. How about pushing the steel bar in an inch and only a half inch comes out? Not going to happen. Well, just like solid steel, the water doesn't stretch or compress. If the pump pulls in a gallon of water then it puts out a gallon, and that gallon has to go somewhere. If only half of the gallon goes into the hose then the other half has to go somewhere - in this case it goes into the regulator bypass line, but the total
has to be a gallon.
Now imagine that I push real hard on the bar as it comes out the other side. Again, move the bar an inch toward me as I push. how much of the bar comes out? Still an inch, it's just harder to move. So as the pressure in the solution system rises, it gets harder for the pump to move (pressure rises), but the total flow does not change. 3.5 is 3.5.
So,
If your outlet is more than your incoming water flow
is physically not possible. It's like saying "if I push the steel bar in an inch and two inches come out of the other side".