Oh dear, it says if they cannot be rehomed within 7 days they are PTS

actually its MAY be pts if the local authority cannot find their owner within 7 days (they can't be rehomed at all to anyone other than their owner within those 7 days) and then once the 7 days is up the dog belongs to the local authority to deal with as they wish (Cardiff pound keep all their dogs till they can rehome them rather than when their 7 days is up!) - words valgrays us are 'If dogs are not
claimed in 7 days'
Also, may be this discussion should be for another thread as this is about rehoming this dog