I don't think the transparency print needs to be duplicated?
I guess it depends on the printer, but in my case (for etching with photoresist, not for solder mask, but the reasoning is I think the same) I absolutely had to print it twice, normal + mirror, then, after drying the ink (I'm using an ink jet epson L805) put the two together, ink sides facing each other, align, fix them together using sticky tape, and it's good to go.
With a single print it was a consistent failure because of very low contrast: black areas were half-opaque with multiple small transparent dots without any ink in them, so it was impossible to expose uncovered areas enough and not expose the covered ones at the same time. However, with two prints combined it became a consistent success (the biggest problem now becoming the reliable application of the photoresist film onto the board), and with a very decent resolution, too: 10/10 is not a problem at all, and, judging by how well the copper text with component reference markings serving as poor man's silk screen is etched, even thinner traces and clearances should be possible.
Can also print twice on the same surface for the same effect (after thoroughly drying the ink which I do in a ventilated oven at 50 degrees C), but, even though the printer does a very good job at consistently aligning the image (or the sheet?) to print in exactly the same place, second printing spoils thin white (transparent) lines, which get even thinner, because the already printed areas can't soak enough of the new ink and it spreads a little outside of where it's supposed to stay. So I abandoned it and kept using two transparencies, at least where traces are thin and dense.
Firm pressing (with some glass) of the transparency against the board is vital, too.
I wonder what can go wrong using the same technique for solder mask. I've never tried it, and am now tempted to try it too.