Remember the old formula for figuring the area of a circle, that describes the ratio of the circumference of a circle to it's diameter ? ( taken right from Webster's Dictionary )
(Pi)x r2
Same for internal piping diameters and flowrates.
1" Schedule 40 PVC Pipe has 1.029" I.D.
1.029" diameter D, divided by 2 = .5145 radius r.
.5145 x .5145 = .2647
r squared = .2647"
pi = 3.14
3.14 x .2647 = 0.8312 square inches internal area of 1" pipe.
2" Schedule 40 PVC Pipe has 2.047" I.D.
2.047" diameter D, divided by 2 = 1.023 radius r.
1.023 x 1.023 = 1.0465
r squared = 1.0465"
pi = 3.14
3.14 x 1.0465 = 3.286 square inches internal area of 2" pipe.
It's pretty clear that a 2" pipe will handle a lot more water than two 1" pipes combined.
It's almost a factor of 4 times as much - because "flow" through pipes is always a function of "area" of the piping times the "velocity" of the water ( Q=AV )
Although in a gravity feeding drain - one would not expect the piping to be 100% full at any given moment. Gravity drains actually flow less than say a full pipe, that is under pressure, and is discharging to atmosphere.
But nevertheless, the potential, or flow characteristics between the two pipe sizes is somewhat constant. You can get approximately 4 times as much water moving through - when you double the pipe size.
Gravity lines flow best when not full, are slanted downward, and allow air to vent the entire length of the piping arrangement.
Makes them quieter with less entrapped air pockets to cause bubbles. Although if not vented, and running more vertical, it's possible to have water back up in the drain, adding some head pressure to the equation - and this in itself helps to increase the flow draining down to the sump. It's a trade off.
Going from two 1" to one 2" should not be a problem.
How you actually "plumb" the fittings, runs of pipe and such, makes it hard to predict how the actual water will behave while draining down to the sump.
If you do plan to install a ball valve ANYWHERE in this 2" line, you may want to consider using a 2-1/2" or 3" PVC ball valve.
Normally pvc ball valves are "reduced-port", meaning the actual hole in the ball is much less than the internal diameter of the same size piping. Unless you can find a "full-port" ball valve.
Restrictions could really mess this up - and all bets are off at that point.