Not mentioned so far - You must remember to remove any paint colour "wash" that is commonly applied during manufacture of these products surfaces, all over. These are used to create the "weathered" or "patinated" appearance of components. This should be done where any surfaces are to be bonded together with adhesive. This is a typical feature of most Pola/Piko structure products. Any surface colour "wash" can and will act as both a barrier to an adhesives' solvent action and, even if it is partially dissolved by adhesives, stops surfaces bonding properly to each other.
Otherwise solvent based adhesives as others have suggested. However, if you can source them Technicol 8008 or Ruderer L530 are excellent in this application too. Do add a bead, as suggested by others, of silicon sealant or 2 pack filler to strengthen (minimises the effects expansion/contraction and water ingress on joints exposed to constant heating a cooling). Max
P.S. If reconstructing old failed plastic structures you must also remove any surface traces of old adhesives, especially if you did not remove colour "wash" first time around. In areas to be bonded sand/scrape back to a clean moulded plastic surface. Again residues of old adhesive can affect bonding process with a new adhesive. Personal note - CA (except bonding QC resins), Epoxy and non exterior use contact type adhesives have no place in the garden. At least for long term outdoor use.