Q1: Can these be connected together to make a longer strip?
A1: Sorry but cause the voltage and power reason, the lights don’t support you add another light strip to make a longer strip light.
Q2: Can this product be cut in multiple pieces and resolder the joints to make it all work or is it once i cut it the rest is garbage?
A2: Do not suggest to cut and re-connect. The strip can be cut only at copper joints which can't be resoldered. The cut part is not reusable. After being cut, the end should be sealed with glue first and then covered by an end cap.