There are a number of attempts at this but I've found Spivak pronouns (specifically the Elverson set) to be a particularly elegant solution. The easiest description is "the 'they'-form pronouns without the 'th'". Thus, your first sentence would become "In the article, OP explains that ey ([...]) are in middle of analyzing data from a certain income group who are used to getting around the web, who handle both desktops and phones."
Anecdotally, I've found most people seem to understand what I'm saying online and offline people either understand me or think I'm saying "they" and understand my point anyway. Plus, this pronoun set sounds more natural than other constructions and is easy to remember since it's keyed to a set you already know.