Vurdalak the Shrouded's goods should be restocked

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Neither of you are completely correct, any sold artifact adds to a counter with the amount depending on the rarity of the artifact and the quality of the analysis, with a slight variance. Once this counter passes a certain value one or several artifacts will be sent back, so you are guaranteed to get artifact resupply crates once you've sent a few analyzed ones out.
And yeah, the market cycles do not factor into this at all.

Also, yup , I don't think Vurdalak ever restocks their artifacts.