A C340 CREW TAKES RWY POS AND HOLD MEANT FOR ANOTHER ACFT AT FXE; FL.

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THE FOLLOWING EXPLAINS THE EVENTS SURROUNDING A MISCOM BTWN FXE TWR AND ACFT X ON JAN/SUN/01. AFTER RECEIVING IFR CLRNC; ACFT X WAS INSTRUCTED BY GND TO TAXI TO RWY 31 AND REMAIN ON GND UNTIL #1 FOR TKOF; THEN SWITCH TO TWR. WHEN #1 FOR TKOF; ACFT SWITCHED TO TWR. FXE HAD SIMULTANEOUS RWY OPS IN EFFECT FOR RWY 31 AND RWY 26. ACFT WAS GIVEN 2 HOLD SHORT INSTRUCTIONS; ACFT X ACKNOWLEDGED BOTH AND COMPLIED. THE CREW OF ACFT X HEARD INSTRUCTIONS FOR POS AND HOLD. ACFT X ACKNOWLEDGED THE POS AND HOLD INSTRUCTIONS; CHKED THE FINAL APCH PATH TO RWY 31 TO ENSURE IT WAS CLR; AND PULLED ONTO THE RWY AND HELD FOR TWR TO GIVE TKOF CLRNC. AFTER A PAUSE; FXE TWR QUESTIONED THE POS OF ACFT X. ACFT X ADVISED WE WERE CLRED FOR POS AND HOLD ON RWY 31 AND WERE ON THE RWY AWAITING TKOF CLRNC. TWR ADVISED ACFT X WAS GIVEN A HOLD SHORT AND FOR US TO TAXI OFF THE RWY AT THE FIRST TURNOFF AND RETURN IN SEQUENCE FOR DEP; AND TO CONTACT THE TWR ON OUR RETURN. ACFT X CONTACTED THE TWR ON OUR RETURN TO FXE. THIS WAS CLRLY A MISCOM BTWN FXE TWR AND ACFT X. NO OTHER ACFT WAS AFFECTED.