Once I reported the fault to them, pretty much the next day they would email me a Fedex label to send the phone to them and a link to enter my credit card details. The phone would take about 2 -3 days to repair after which the phone was Fedex'ed back to me.
Of course I hasten to add I could not use their label so I just posted the phone to them but kept enough of the label to identify the phone and me (bar code), Then they sent the phone back to my brother in LA who mailed to to me. But the entire process only took about 16 days in total.
Assuming the organisation who sold the phone to the OP had to send the phone offshore to be repaired, this is pretty much what I did and it did not take 4 weeks.