A Lonesome Guys Guide To
Mating Shielded Harness Wires

The shielded wire for the sensors is really only a couple of insulated wires encased in a braided ground wire which reduces interference. The braid is essentially a tube or conduit for the sensor wires which acts as a shield to the internal sensor wires (which are also insulated with their plastic covering). If you were to chop your sensor lead in half, seperate each of the wires and allow about 1 1/2" (38mm) to hang freely from the bundle.  Doing this you will expose the end of the braided wires.  Gather the braided wires, pull them to one side of your encased wires, and  bring them together by smoothing your finger over the end, bringing all the strands together, much like you do to prepare all wire ends for soldering.
Repeat this process on the other side of your sensor wires.
Prep your other common type wires on both sides for splicing to each other.  Warning:  When stripping the internal wires, leave enough of the plastic shielding in place to ensure that your sensor wire does not come into contact with your shielding ground wire.

Now you have a bunch of wires just hanging around waiting to mate.

For each pair of wires to be spliced, cut a length of heat shrink tubing long enough to cover your soldered bare wires plus 1/2" (12mm) on each side. Slide the shrink wrap as far back as possible on one side of the wire pairs.  Do this for the shielded wires as well (optional).  Now cut a long piece of large diameter shrink wrap which will fit over the entire lead including the sensor wires and the ground wire.

As with typical wire soldering, place the wires so that the ends are pointing at each other.  Butt the wire ends against each other and push hard enough to cause the wires to force into each other, intermingling the wires from each side.  Now put your fingers over the wires and exert enough pinching pressure to force the wires into a nice smooth cylinder with no "wild hair" wires sticking out.
Hold the wires steady to keep the ends from coming apart.  Appy heat with your soldering device and flow solder directly into the meshed wires.  
Once soldered, hold the joint until cool, 
Now slide your heatshrink sleeve over the entire soldered joint.
Heat the heatshrink with your favorite heating device (lighter, match, hot air gun, propane torch, flame thrower)
Finally, slide the large piece of heatshrink over the entire joint and heat it.  

You now have a spliced sensor wire.

Brent