Hey guys im new. I have a question about the compatibility between 2001 and 2005 ranger edge seats?

Welcome to the site. I have nothing to add about seats, sorry.

Welcome to FRF

1998 seats and up will work as long as cab configuration is the same

Ext cab seats will swap with ext cab. Single cab will swap with single cab

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^^^Yep

And welcome to FRF

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Sold:2004 XLT 4x2 Ext. Cab. 3.0 Mods: 3" spindle, AAL, shackle, 32x11.5 on 15x8s, billet grille, clear corners, flow 40 dumped, line-x, CB/PA, traction bars, lil sound system, auto up down windows
Sold:2005 XLT 4x4 Ext. Cab. 4.0 Mods: ProComp lights w/ HID swap on tabs, 32x11.5 on 15x8s, CB/PA, black out heads/corners, lil sound system, cranked t-bars, flow 40 dumped, line-x, shell, bed rug, 06+ tails, metal tail gate handle since plastic one shattered, OHC, Mustang Dome.