A B767-300 WAS DISPATCHED IN NON COMPLIANCE WITH 2 OPEN AND UNANSWERED LOG RPTS.

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WE WERE FLYING FLT ZZZ TO ZZZ1. WE MET THE INBOUND CREW AND DISCUSSED THE 2 MAINT ITEMS THEY HAD WRITTEN UP. AFTER PREFLTING THE ACFT; WE CALLED MAINT TO ENSURE THEY WERE WORKING ON THE 2 ITEMS. A MECH CAME UP TO THE COCKPIT AND ASKED IF WE HAD ENTERED THE MAINT WRITE-UPS. WE INFORMED HIM THAT THEY WERE FROM THE INBOUND FLT AND NOT US. WE ALSO SHOWED HIM BOTH WRITE-UPS BECAUSE WE WANTED TO MAKE SURE THERE WAS NO CONFUSION WITH A SIMILAR PREVIOUS DEFERRAL. THE FORWARD LAVATORY WAS DEFERRED INOP; BUT THE WRITE-UP WAS FOR THE AFT LAVATORY. WE WERE VERY CLR ON THIS ISSUE. THE OTHER WRITE-UP WAS A CHRONIC ISSUE AND CONSUMED MOST OF THE MECH'S TIME. JUST PRIOR TO PUSH; I WATCHED 2 MECHS LEAVE THE AIRPLANE WITHOUT COMING TO THE COCKPIT; SO I THEN CONFERRED WITH A FLT ATTENDANT TO CONFIRM THE AFT LAVATORY WAS NOW WORKING. WE WERE FINALLY READY TO PUSH OVER 3 HRS LATE WHEN WE RECEIVED OUR WX DOCUMENT OVER ACARS. IT SHOWED THAT THEY HAD WORKED ON THE CHRONIC WRITE-UP; BUT DID NOT SHOW THAT THEY HAD WORKED ON THE AFT LAVATORY. WE DECIDED TO HOLD THE PUSH AND RESOLVE THE ISSUE WITH LINE MAINT OVER THE RADIO. AFTER DISCUSSING THE ISSUE WITH MAINT; WE DECIDED TO READ VERBATIM THE WRITE-UP TO THEM; TO MAKE SURE THERE WAS NO CONFUSION WHATSOEVER. WE READ THIS WRITE-UP VERBATIM AT LEAST TWICE. MAINT VERIFIED THAT THIS ITEM HAD BEEN FIXED AND WE WERE GOOD TO GO; SO WE PUSHED. WE DELAYED ENG START FOR A CONSIDERABLE TIME AFTER PUSHBACK WHEN WE REALIZED THE MECH HAD NOT PULLED THE TAGS FROM THE LOGBOOK. WE THEN TRIED IN VAIN TO GET A HOLD OF SOMEONE IN MAINT (IT WAS VERY LATE). WE THEN OPENED OUR MANUAL TO SEE IF THERE WAS ANY GUIDANCE THERE. WE READ THE SECTION ABOUT ADMINISTRATIVE ERRORS AND FELT COMFORTABLE CONTINUING SINCE WE FELT THE MAINT ISSUE WAS ADDRESSED AND CORRECTED. AFTER WE WERE AIRBORNE; WE CALLED MAINT JUST TO MAKE SURE THE PAPERWORK WAS CORRECT. HE TOLD US THAT NOTHING HAD BEEN PUT INTO THE COMPUTER AND THAT WE SHOULD CONFER WITH MAINT UPON ARR IN ZZZ1. EVEN THOUGH WE THOROUGHLY DISCUSSED THIS WRITE-UP WITH THE MECH IN ZZZ; HE SAID HE WOULD TAKE CARE OF IT; OUR READING OF THE WRITE-UP VERBATIM TO HIM AT LEAST TWICE; AND THE ENSUING ASSURANCE THAT THIS ITEM HAD BEEN FIXED AND WE WERE GOOD TO GO; THE MECH IN ZZZ1 INFORMED US THAT IT WAS POSSIBLE THAT THIS WAS STILL AN OPEN ITEM.