How do you know that you are smelling formaldehyde? You may be allergic to something in the wood other than formaldehyde. Most plywood uses a urea - formaldehyde (UF) polymer which has extremely low levels of formaldehyde in the UF. Several years ago, some plywood made off shore used UF that did not have the residual formaldehyde removed from the UF and this was problematic. However, this has changed markedly since then and there are strict standards for residual formaldehyde in UF from off shore makers.
US UF makers never had a residual formaldehyde concern.
If this is new construction, it is highly likely you have no formaldehyde issue.
Keep in mind that plywood is not the only wood product that uses UF. Particle board, oriented strand board, etc also use UF. Many pieces of furniture, kitchen cabinetry, etc use UF and I suspect you have some UF glued wood product in your current residence.
If you claim you are sensitive to the plywood, I suspect you are sensitive to something in the wood and not likely residual formaldehyde in the UF. It may be helpful for you to see what in fact triggers your allergy and if prudent, take needed medical action.
As a chemical engineer, I have been involved in the UF production for quite some time and I do speak with authority in this matter. The residual formaldehyde is very volatile and fairly easily removed and then used in the next batch of UF.