Let me explain further here.
I take it from what you’ve said that your first marriage was declared invalid. This left you free to pursue a second marriage.
Assuming there are no impediments you can prove “on paper” (e.g. lack of canonical form, prior bond, consanguinity), your second marriage would be considered valid until proven otherwise.
If a person has been married more than once and any of the previous spouses are still alive, a separate investigation is required for EACH marriage. There should be a question about this on the initial nullity investigation paperwork. So, if you’ve been married twice, there would be two investigations. It sounds as if one marriage was already investigated and found to be invalid, but the second one would still need to be investigated.