BritishGuy, when the electronic application changes from pending to shortlisted, it means that they have been able to tick the boxes that you meet all the requirements. Therefore there will probably be an invitation to interview coming your way. How long it takes is a bit of a lottery, depending on how many people are out there applying with much more suitable time.
EK like to recruit people who have the highest chance of success at passing the transition course onto your next big new shiny jet, so if you are sitting right at the minimum times, you could wait for a month or two before an invite. As you can imagine, the sad collapse of Mexicana has released a pool of experienced bigger plane drivers onto the market, so they will be given a lot of the available slots (not all, because the interview process makes use of cultural diversity and our ability to operate within and tolerate those differences).
So to be blunt, if you have B777 time, you should get a call very quickly, but if you only have CRJ time, you will get an interview (we need so many pilots that they will call you) but it may take a couple of months.
When you get the interview, they will give you 3 dates to chose from. Theses dates are not the only ones you can have, if you can make it earlier or need to make it later, just communicate. They have a variety of selection dates available and are very flexible in trying to get you here, both for the interview and hopefully your start date.
Disclaimer:- this was all accurate 3 years ago when I interviewed, and apart from the world's economic brain-fart, we are in the same scenario of needing LOTS of crew, so I expect it will be very similar. Good luck.