COMMUTER FLIES 3 DAYS WITH OPEN WRITE UP.

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BACK SIDE OF REDUCED REST OVERNIGHT; 9TH HR OF A 13 HR DAY. HAD A 45 MIN ON GND IN SFO BEFORE THE LEG TO FAT. 10 MINS BEFORE DEP TIME; THE RAMP SUPVR ADVISED US THAT WE WERE TO SWAP INTO ANOTHER ACFT. MAINT WAS WORKING ON THE ACFT WE WERE TO SWAP INTO. THEY (MAINT) CLRED THE 2 WRITE UPS ON THAT PAGE AND I ASKED THE CAPT I WAS GIVING IOE (INITIAL OPERATING EXPERIENCE) TO LOOK THROUGH THE LOG WHILE I GOT THE PAX ON THE ACFT. AFTER WE GOT INTO THE AIR; I TOOK THE TIME TO LOOK THROUGH THE LOGBOOK. THE ACFT HAD BEEN WRITTEN UP 2 TIMES BEFORE FOR THE SAME THING. THE FLAPS BLEED DOWN AND THE DEMIST FOOT DIRECTIONAL CTL WASN'T WORKING. THE SECOND TIME THOSE WERE WRITTEN UP MAINT CLRED THE FLAP WRITE UP; BUT NOT THE DE-MIST WRITE UP. THIS WRITE UP WAS 7 PAGES BACK FROM THE LOG SHEET I WAS ON. 3 DIFFERENT CREWS FLEW THE ACFT WITH THE OPEN WRITE UP BEFORE I FOUND IT. WHEN I TALKED TO OUR MAINT CTLR; HE SAID HE THOUGHT THAT THERE MIGHT HAVE BEEN AN OPEN WRITE UP; BUT DID NOTHING ABOUT IT. IT WAS A LONG DAY AND I WAS MAD ABOUT THE ACFT SWAP. I TRUSTED THE CAPT I WAS GIVING IOE TO THAT HE WOULD CATCH ANYTHING IN THE LOG -- HE DIDN'T.