Which inkjet all-in-one printers have cartridges that can be refilled?

All inkjet all-in-one printers that have cartridges that can be refilled.

http://www.wikihow.com/Refill-and-Reuse-a-Printer-Cartridge
But your colors wont be like Brand Printer Cartridge colors.
Anything but photo printing & you wont notice.
Some printers use IC chiped Printer Cartridges, so you will need to buy a reset tool, or find the work around.

I dont believe that all ink cartridges can be refilled. I have a Lexmark all in one which uses the #43 (color) and #44(black) cartridge. I bought ink and followed detailed instructions to refill the cartridge. After multiple fills, the cartridge just wont print. I later found out that there is an electronic component within the cartridge that basically shuts down the cartridge after X number of prints. So no matter what I do, it will not print. I just want to avoid being in this situation again with the next printer that I buy.
I am not big on photo prints at home so it will not be a problem.
Thanks

did you read?
Some printers use IC chiped Printer Cartridges, so you will need to buy a reset tool, or find the work around.

www.misterinkjet.com/epson_resetter_instructions.htm
scipp.ucsc.edu/groups/glast/btem/userGuide/node15.html

link edit

http://scipp.ucsc.edu/groups/glast/btem/userGuide/node15.html

Epson : http://www.inksupply.com/chipreset.cfm
Canon: http://www.echostore.com/canon-chip-resetter.html

other including lexmark
http://www.chipreseting.com/lexmark_chip_resetter.asp

I read up on some of your links and am certain that the cartridges being used in my current Lexmark printer (x9575) are not among those that can be reset. They can be refilled but they do not work because the printer is able to recognize a refilled cartridge due to a memory chip placed in the printer. In fact I found these links which discuss the issue

http://www.inktelligent.com/latestpost_1605.html 
http://www.fixyourownprinter.com/forums/printer/51393

Your posts thus far have been general in nature. Lets focus on my original question - I am looking for the model number(s) of an all-in-one (copy,print with duplex option,fax,scan) printer whose cartridge can be refilled (with or without resetter). Once I have this, I'll work on the details and we can end this thread.

Thanks. Appreciate all your comments on this query. I have done some research myself before posting here and am certain that even though some cartridges can be refilled, they may not work in the printer. I failed to say this in my initial post and unfortunately am in the situation with the Lexmark x9575.
I was actually looking for specific model numbers but for now I will accept your last post as a solution.

Your welcome