Multiple eggs per cell is a sign of
laying workers. Are the cells with eggs in them scattered around the frame (which I'd expect for laying workers) or clustered together in a patch in the centre of the frame (which is the pattern a queen lays in
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Laying workers.
160713-14.jpg
Multiple eggs.
You don't say whether the brood is drone or worker, or whether there's a queen definitely present. Any more info?
2 frame colonies with "signs of dysentery" doesn't sound like much of a bargain. At this time of the season they should be overwintered nucs as it's too early for 2019 queens (even in balmy Aberdeen), or the vendor put an imported queen together with some bees.
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