Trash bags may be formed to include first and second sidewalls joined along a first side edge, an opposite second side edge, and a closed bottom edge to form an outer bag. A second inner bag may be inserted within the first bag to form a “bag-in-a-bag” type configuration in which the inner bag is bonded to the outer bag along side seals by a continuous process. The bags may also be bonded together along the hem and the draw tape. When the side seals of the inner bag and the outer bag are sealed together by a continuous rather than a reciprocating process, the inventors have surprisingly found that such seals require carefully controlled process conditions to prevent inadequate seals.