If you look in this book on pages 139 and 140 it shows what decks will work with the 1668 - observe the footnotes on page 140. (they are pages 143 and 144 of the pdf reader).

https://gardentractortalk.com/forums/files/file/5264-1996-garden-way-service-seminar-book-troy-bilt-and-bolens-products/

 

That's awesome!
Thank you for that, much appreciated.

Do you know by chance what model tractors the 14032 and 14031 decks come on? Maybe I can expand my searching to a certain troybilt

 

Do you know by chance what model tractors the 14032 and 14031 decks come on? Maybe I can expand my searching to a certain troybilt

I don't know which tractors the decks would have come on - my understanding is that the tractor was sold separately and the deck would be a separate accessory the same as a tiller, blade, snow caster etc. Some tractors may have been sold with a certain model # deck attached as a "package deal" but they would have been ordered separately and the dealer would have installed the deck to create the package that a customer wanted or a few may have been set up as demo machines for customers to try. Having worked at a John Deere garden place back in the 70's any demo machines usually sold quickly as once a customer tried it and decided they wanted one the dealer would usually just leave that unit - knock a few dollars off the price if it had been used much - and offer it as a full warranty period machine from the date of purchase.