a method of making a factory end for a bag assembly , in which a removable plastic bag will be contained within a protective outer bag , includes steps of providing a tube assembly having a plastic inner tube within an outer tube ; sealing one end of the plastic inner tube so as to be closed at said one end ; and closing the outer tube about the closed one end of the inner tube in such a manner that no plastic material from said inner tube is permanently affixed to the outer tube , whereby the outer tube may be efficiently recycled or incinerated after it is separated from the inner tube by a consumer . the bag assembly itself is disclosed as a separate aspect of the invention . methods for making the tube assemblies are also disclosed .