This is what the shape looks like, with the wavy bars selected to show the nodes:

This is what the exported version looks like (resizing killed the transparency):

Note center-top peak of the upper bar, and lower-left of the lower bar.
I have tried exporting at multiple sizes and resolutions, various groupings, unions, and combinations of the two bars, and (the old standby) restarting the program (all except for the last suggested by previous threads). The bars never export correctly. Different sizes and resolutions export differently: greater or lesser degrees of cut-off, sometimes the stroke exports properly but the fill does not, etc., but at no attempted resolution does it export correctly (and I've tried several).
I am hoping to get a specific exported image-size, but it's a moot point as I can't get it to work at any resolution. I am using Inkscape 0.48.2 r9819 on a PC running Windows 7 Ultimate (32-bit, SP 1).
Does anyone have any suggestions for how to resolve this?