Luke's next door neighbour told police that he saw Luke out on the street, heading for his house at "about 10 o'clock or a little after." I've never quite worked out where the police were trying to go with this - I think it was in some way trying to frame an opportunity for Luke to have disposed of the weapon or clothing.
Here are the known facts - Luke returned home at 9.30pm (based on testimony from the other boys he was hanging around with that night.) He took Mia out for her last walk at around 10.20 - 10.30 - it was during this walk that he received JuJ's text intended for Jodi.
If we insert neighbour's sighting into that, the prosecution case is that Luke, having escaped unnoticed, cleaned up and been identified sitting, perfectly normal, on a wall at the end of his street by 5.45pm, messed around in the woods with his mates, returned home, went out again to be seen returning half an hour later (having disposed of the weapon - the clothing part was dropped when they decided Corinne had burned it in the garden), went out again 20 - 30 minutes later to take the dog for a walk.
Really? Luke normally returned home after 10, having seen Jodi home for her curfew of 10pm. Interestingly, the neighbour's wife could not back up her husband's claim of seeing Luke "at or a little after" 10pm - it's equally possible the neighbour assumed Luke was returning at his normal time because that was what he (the neighbour) was used to seeing.
If Luke really was the cunning mastermind they tried to paint him as, wouldn't it have made more sense to "dispose of the weapon" under the cover of taking the dog for a walk, rather than drawing attention to himself with all that toing and froing?
Aside from the ludicrous scenario above, the prosecution would have us believe Luke returned home, cleaned up (without leaving any forensic traces in the house), left his blood stained clothing with his mother to burn while he went out to be seen at the end of his street. His mother then waited an hour and a quarter before trying to burn the clothing. An hour later, it rained heavily, presumably putting the fire out, because it was lit again (these are prosecution claims, remember) an hour and a half to two hours later, with no accelerants, and burned so fiercely that it destroyed every single forensic trace - zips, metal studs, melted synthetic fabrics, threads, everything. The neighbour didn't have to close the window to keep the smoke from this inferno out - he "liked" the smell of woodsmoke.
Meanwhile, Jodi had been "missing" - at least from her parents' perspective, for more than 4 hours - her body could have been found at any time. There was no time to dispose of the ash from the burner and replace it with "innocent ash" - Luke and Corinne were in the police station from half past midnight to 7am the following morning, and were under police surveillance from then on.
How people actually believed this nonsense is beyond me.