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Mix up some(MEK or Acetone) in a glass jar with some shavings of ABS (old grille pieces work well) and let it sit overnight (it will melt into goo) you want to end up with a mix that's something roughly the consistancy of wet peanut butter. Prep the edges of both pieces of the part by sanding them to a beveled edge, point the edges together aligning them and use clear packing tape to secure them and keep them aligned from the underside. Smear a nice pile of the goo into the new joint on the top side until it's piled high like a weld in metal. Let it dry a couple days, sand smooth. For thicker parts do the same process on both sides repeating the process the same way.
Bottom line, one day, 3 days, a week, you'll know when it's ready to sand when the plastic returns to a hardened state, if it's not fully cured it can gum up while being sanded. When you break down ABS this way it does change it's chemical composition somewhat, it will lose some of it's "stiff" properties and stay just a tad to the flexible side (a good thing when fixing cracked/stressed areas) so don't expect it to return to a rock hard state, just close to it.Also keep in mind that the glueing or welding portion of a plastic repair job is the easy part, the real, skill, time, and effort falls into the sculpting, sanding, priming, painting, etc. Just like body work in miniature. Practice, practice, practice..