Welcome to the Q&A Forum

It sounds like you have your work cut out either way you have to either

• Get the bad links identified and removed
• or get the good links pointed to the new domain

it boils down to which one would be the easier of the two. One other thing to note is if you have build you brand around the old site , you have to start from scratch on the new one.

Perhaps if you are offering those products as a special deal called " Deal of the Week " then have a page which says " example.com/deal-of-the-week " and get the content on that page and when you update the deal update the content on that page .. so over time that page will have a strong authority