Soldering Lines VS Using Wire to join two points on veroboard
Personally I'm not so fond of those strip boards: I think they give you more limitations than freedom in making connections. I use veroboard with a pad per pin, where you have to make all connections yourself. For that I use 0.8 mm tinned wire which I solder in Manhattan fashion, i.e. vertical and horizontal lines, and right angles. Bridges can be made on the component side. This way you don't have to bother about all these strips going all the length of the board, and which you must avoid making contact with.  

  

You can still try to draw traces of solder tin, but the surface tension will work against that, unless you supply ridiculous amounts of tin. Even when I want to connect two adjacent pads I bend a pin/wire flat to bridge the gap, and flow solder over it.  

An advantage of working with wire is that you can attach a test probe to it.