Bigalmoby had it. Thrips waste, not mite eggs.
Mite eggs are clear spheres. Those specks are black. And no webbing anywhere in your shots. Ninjadogma's right that pest control is ongoing, but I think it's a different bug.
You never see them because they're tiny, hide in the tips, and drop when you touch the leaf. Tap a growing tip over white paper - Anything skinny and pale that runs? That's them.
Soap alone won't finish it. Thrips pupate in the medium, so the leaves keep getting reinfected. Treat the soil surface too.
If you find fine webbing at the tips, it's mites and I'm wrong.