Mafalda, there’s no such soap without Lye. Even though that Melt and Pour Bases are made from oil and lye, but different process from the cold process soap making. If you want, you can try the old days procedure which is wood ash, and mix with distilled water then pour it to the desired oil(s).

Hi AJ!
The shelf life of soap is dependent on several factors. The most important is to start with fresh oils. If your oils are old, then your soap will develop DOS (dreaded orange spots – indicating rancidity) much faster. You also want to store the unused bars out of direct heat, sunlight or fluctuating/humid areas, like a bathroom. Freshly cured soap is usually good to use for at least a year, though I’ve pulled out bars that were 5 years old and still in great shape. If it starts to smell like old oil or rancid, then you’ll know your soap is past its prime and should be tossed.
You can use either light or extra virgin olive oil. The only real difference is that the light olive oil makes a lighter, whiter soap, while the dark green of extra virgin olive oil can often tint your final bar of soap a shade of green or greenish brown.
Happy soap making! :)