I have a number of Majorica imitation pearls in various sizes and colors. They are well made-- the best imitations out there-- and are fun to own and wear on occasion. They're good jewelry to travel with-- no great loss if something happens to them (especially if one buys them pre-owned).
Majorica used to be sold at Saks, Jordan Marsh and Nordstrom but I think they must have have pulled out of US sales in recent years, because they are hard to find now. They were quite expensive at retail, so people like buying them pre-owned-- they stay looking good for many years if not mistreated, and the stringing quality is excellent. Majorica pieces tend to sell well on eBay anyway, but it's a plus that you have the little box and certificate and the matching earrings.
I would not save them for anyone-- go ahead and list them for sale. Styles change and not everyone appreciates imitation pearls.
To get an idea of how to price them, look at SOLD listings of Majorica pearls. The majority of the listings are for creamy white pearls-- there not as many colored ones. That makes yours stand out.
• Take good photos in natural light on a white background, showing the entire necklace laid flat (or in a circle) and the studs next to it, for size comparison.
• State the length of the necklace and the diameter of the pearls (the certificate says 7mm and 50 cm.-- measure to see if that is correct. I have seen certificates that had nothing to do with the necklace they were sold with).
. I know Majorica sold aubergine colored necklaces -- I have one. That may be the color of yours. If not sure do not state the color. If you have taken good photos that will suffice.
• Decide whether to set up a Buy It Now listing, or an auction starting at the least you would be happy to get for them.
I expect they will sell, if not overpriced.
I posted photos of mine on this thread; the aubergine strand is in post #115.
Some of us want a place to share photos and stories of various man-made pearl-lookalikes, so let's put them here. This can be helpful for comparison and educational purposes, examples of jewelry, vintage or new, which are not cultured or natural pearls. I'll be taking some photos soon!