Long-term packaging using a combination of an induction seal and a reseal without release layers, both of which are activated by the induction heating process. The exemplary induction seal comprises a laminate of a heat-sealing layer, an aluminum foil layer, and a foam backing. The exemplary reseal comprises a low-density polyethylene foam core sandwiched between first and second layers of solid low-density polyethylene film. The reseal deforms during the induction heating process to be shaped to engage the outer and inner peripheral surfaces of the finish, so that the reseal is hermetic even after the induction seal is removed. Preferred containers are PETE with PP compression closures. Replaceable desiccant and oxygen scavengers may be used with food or other contained material. Precise timing of induction heating is required to achieve the desired result.