OK, this reply may get me a bit of trouble with welders who can perform magical feats on impossible joints.
Joint design is the most important thing even before cleaning and back purge. Never, ever, EVER design a welded joint where the bead pulls away material from both sides of the joint. If we do, the joint decreases in strength and ability to flow the puddle as the puddle gets bigger. The opposite should be true. A joint like this is common and absolutely designed to fail. If too much heat is used, the bead falls away from one side or both and the gap increases faster than the size of the bead required to span the gap can be created. If too little is used, the weld bead may look like a stack of dimes, but there's no penetration and the stress concentration at the edges of the bead will lead to cracks in service.
Overlap the joint. Even better, provide a sacrificial feature in the joint that, when melted, becomes the bead. This is called weld prep joint design. On a right angle, this means making one part longer by ~1-2X thickness so that the bead melts into position instead of away from it.
Even better than that, don't do outside corner welds. Bend the material, overlap it with the next face, and do the welds on the flat.
Lack of back purge and proper atmosphere isolation will also create an oxide "skin" on the puddle that prevents any chance of flow. It needs to be shiny on the back, not just the front. Welders will hate me for letting this secret out, but anyone worth his helmet has welded an aluminum repair on an oil tank under pathetically contaminated conditions by adding a bead on top of one side of a crack and merging it with material on the other side. Lesson: material on top of the joint is more important than cleanliness.
Show me a hard to weld joint and I'll show you a joint the welder should have re-designed.
(sorry, this is a real peeve of mine in manufacturing)