"Before analyzing the monthly data, being interested in longer than annual variations, we first removed the annual cycle from the global atmospheric CO2 data series by calculating a 12-month running average. This implies that we here consider the annual variation as noise only, and instead are looking for the underlying longer signal, the overall CO2 increase"
"It claims that there is no major trend - because it removed it from the analysis"
are you for real?
Lol, no it doesn't make that claim whatsoever, nor does it remove the trend, did you actually read it?