FLC OPERATED AN LTT BEYOND THE REQUIRED ACFT INSPECTION TIME LIMITS.

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THE FLT OCCURRED TOWARDS THE END OF A LONG AND HIGH FLT TIME 3 DAY TRIP. MYSELF AND FO WERE TO HAVE A BREAK IN LGA AT THIS TIME. CREW SCHEDULING CALLED AND ASKED ME TO SWITCH ACFT TO (ANOTHER ACFT) TO SYR AND BACK. THIS ALLEVIATED ANY BREAK FOR ME; AND PUT THE SYR; FIT. (NO.) 30 MIN BEHIND SCHEDULE. ONCE BACK IN LGA; I MET UP WITH MY ORIGINAL FO; SWITCHED ACFT AGAIN; AND FINISHED THE REST OF MY TRIP. THAT NIGHT THE CHIEF PLT CALLED TO TELL ME THAT ACFT (2ND ACFT) HAD BEEN FLOWN A TOTAL OF 9 FLTS OUT OF INSPECTION BY 1 DAY. I HAD FLOWN 2 AND 3 OTHER CAPTS HAD FLOWN THE REST. WE RECENTLY CHANGED THE INSPECTION TIME FORMAT IN THE BACK OF THE ACFT LOGBOOK. WE WENT FROM AN HRLY TIME WHEN INSPECTIONS ARE DUE TO A 10 DAY SIGNATURE. THIS IS VERY CONFUSING TO FLCS BECAUSE IT IS NOT CLR AS TO WHEN THE 10 DAY BEGINS OR ENDS. AS WITH SO MANY THINGS IN AVIATION MORE THAN 1 EVENT CAN CAUSE A PROB OR CONCERN. IN RETROSPECT I SEE THAT THE LONG DUTY DAY AS WELL AS TRYING TO NOT FURTHER DELAY A LATE FLT CAUSED THE OVERSIGHT.