An ostomy appliance is provided with inner (3) and outer (2) pouches separably joined together by peelable seams (6, 7). A vent passage (39, 40, 36a, 36b) and deodorizing filter (37) are also provided, most advantageously located externally of the pouches, and a pre-filter (50) is preferably positioned in advance of the deodorizing filter.
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