The easy answer is that you don't need to solder the joints.
We use Atlas flex and sectional track on the G&O garden railroad. None of the track joints are soldered across the tie plates.
We use sectional track for most of our curves. The reason for this choice was that we needed to make certain that no curve was less that O-72. We used a combinations of sectional track to vary the radius. Also, we can't fasten our track down because we need to allow for expansion and contraction outdoors.
We did use flex track for some curves. We offset the rail joints prior to laying the track. You do this by sliding the rails in two pieces of flex track through the ties. All three rails are offset by about 12 inches. This makes one long piece of track that will bend into a smooth curve by hand.
We did solder wires across the track joints to improve electrical conductivity. (Again, the joints are not soldered - just the wires.) The easiest way to do this is with a resistance soldering iron. We use a soldering iron sold by Micro-Mark. I highly recommend getting a resistance soldering iron if you are going to work with a lot of Atlas track.
Here is a photo of wires soldered across the joints. We have found the wires will actually hold the track in alignment and that the tie plate is not needed. Note that the wires are soldered on the outside of the running rails to avoid contact with rolling stock flanges. The center rail can be soldered on either side.
Here is another photo of wires soldered across the joints:
This entire upper level curve (supported by the T shaped stakes) and all the straight track is made with flex track with offset joints. This photo was taken during construction in 2013. This scene is no longer visible in this form because we have added plants and scenery.
Here is a photo of the same curve taken last Saturday.