A C310 PLT TAXIED PAST HOLD SHORT LINE FOR RWY 24L AT CLE; AT LEAST IN PART BECAUSE OF CONFUSING MARKINGS.

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DUE TO TXWY AND RWY CLOSURES AT THE TIME OF MY DEP; THE INSTRUCTIONS WERE A BIT COMPLICATED. I DID WRITE THEM DOWN AND FOLLOWED MY INSTRUCTIONS TO TAXI TO RWY 24 CENTER. AFTER TURNING ON TXWY ZULU; I PROCEEDED TO TAXI UP TO RWY 24 CENTER; INADVERTENTLY CROSSING THE HOLD SHORT LINE FOR RWY 24L. RWY 24L WAS CLOSED; AND THERE WERE NO MARKINGS OR SIGNS THAT INDICATED THAT THE HOLD POINT FOR RWY 24C WAS THE SAME AS RWY 24L. CLE GND CTL NEVER ISSUED A HOLD SHORT CLRNC THAT INDICATED I WAS TO HOLD SHORT OF RWY 24L AT ANY POINT. AFTER DEP; I ASKED THE TOWER CTLR IF I HAD ERRED AND HE STATED YES; AND ALSO STATED THAT THEY HAD BEEN HAVING NUMEROUS PROBLEMS AT THAT PARTICULAR INTXN DUE TO POOR MARKINGS. THERE WAS NO CONFLICT WITH ANOTHER ACFT AT ANY TIME. IT SEEMS TO ME THAT THE INTXN IN QUESTION AT CLE; AT THE INTXN OF RWY 24L; TXWY ZULU; AND RWY 24C; IS POORLY MARKED AND DOES NOT INDICATE WHAT IS EXPECTED OF THE PLT. CONCURRENTLY; THERE WERE NO INSTRUCTIONS TO HOLD SHORT OF RWY 24L AT ANY TIME DURING THE TAXI. IT WAS ONLY AFTER TAXIING PAST THE HOLD LINE AND CROSSING RWY 24L THAT THE MISTAKE BECAME APPARENT TO ME. A MORE SPECIFIC TAXI INSTRUCTION WOULD BE HELPFUL; EVEN IF IT IS TO HOLD SHORT OF AN INACTIVE RWY. AS FOR MY PART; I WILL CONTINUE TO BE DILIGENT AND EXERCISE EXTREME CARE WHEN CROSSING RWYS; CLOSED OR OTHERWISE.