Gladly.
First in that list from a recognised journal is no.2. In the words of the author(s) there were no discernible differences compared to a proper diet after one year. In my own words, looking at the data, those on the fad diet were slowing weight loss far more rapidly than those on the real diet. Any sensible projection past one year would assume a continuation of that trend. Back into the words of the author, the trial wasn't nearly good enough to measure the longer term trends (a familiar comment if you read enough of these).
No.3 was a 6 month study, which no.2 has proven to not be nearly long enough for a valid analysis.
No.7 doesn't even specify the length of the study or whether that length was established before the results started coming through. That just stinks of P hacking and I'm amazed it even got published.
17 includes those with diabetes (an important disqualifying factor if you're messing with people's insulin levels, right?) and references another study (can't remember the number in that list) which didn't even compare calorific intake between the two types of diet.
No 5 was for 12 weeks.
At this point I got bored of reading the same lack of evidence over and over. Did you actually read any of those studies or just link to a page full of them?
Not a single one that I could find was double blinded, none lasted for any length of time (the 2 year study didn't filter participants) except the one for one year that suggested the fad diet was no better and was showing worse long term trends than the real diet.
If you did read the articles, did you skip to the end and see who they were financed by? That doesn't negate the validity of the trials (the contents do that we'll enough). But the repetition of names leads me to feel that the claim of a single long-term, properly controlled trial being prohibitively expensive is weak, seeing as they can afford to pay for an entire fudgepile of poor studies.