Double billed, still waiting for refund 4 weeks later

On the 4th of January I did an online booking for flights from Bloemfontein -CT for the 5th January to the amount of R2200. When trying to make payment I used my FNB card and got an error message and the option to use another bank. I then used my Nedbank card and was suprised to get sms's a few minutes later that the amount went off from both banks. Trying to get this refunded has been a nightmare. Send both my statements twice and was initially told it would take 48 hours. Called after 3 days and was told the payments do not reflect yet (a week after making them). Then was told it reflects now and they can see the two payments and I have to go into the bank to get a statement as my online statement was not enough. (even though they could see both payments) Then I had to send a certified ID etc. Tomorrow it is four weeks since this money has left my account and I have received no feedback, no refunds. I cannot believe that with todays technology that a refund takes that long to process. This money was taken by an error in their payment system, no error on my part and yet I am the one doing all the effort to try and get my own money back