When you purchase an item on The Realest, it automatically becomes eligible for resale once the transaction is complete. Auction items appear after the invoice is paid, and giveaway items appear once registered to your account. These items remain visible on the Marketplace, labeled as either Make Offer (offers allowed) or Instant Buy (fixed price).
Even though items remain listed with their last sale price for provenance, you are not required to sell your item or accept any offers.
How to avoid receiving offers
If you prefer not to receive offers, the best option is to raise your minimum offer threshold in your account settings. By setting this threshold higher than you’d realistically accept, you effectively prevent buyers from submitting offers.
For a full breakdown of the resale process, see this article.