Dissolve Polygons by attribute leaves empty spaces

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I am trying to dissolve polygons based on the same attribute using QGIS 2.8.2 (Wien).I use Vector, Geo Processing Tools, Dissolve and then I select the attribute.The data is Postal Sector in Uk and I need to create Postal Districts, in the attribute table I have created a field called District and I use this field to dissolve my polygons.The problem that I have is that the new District layer has some empty spaces.I have taken a screenshot of one of them:


The Sectors CV21 1 and CV21 2 are not part fo the new District layer and if I click on them using the "selection" icon, nothing happens.My guess is that QGIS cannot dissolve them because CV21 2 has an intersection (exactly where its label is).Can anyone:1. explain why Dissolve does not merge those polygons together2. suggest any solution (maybe splitting CV2 1 into 2 smaller polygons and then merge them afterwards?)



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