AT LAX ACR-MLG OVERSHOT TURN ONTO RWY 24L;R CAUSING CLOSE PROX WITH ACR ACFT STRAIGHT IN TO RWY 25L;R.

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WHILE FLYING STADIUM VISUAL TO RWY 24R; WE OVERSHOT N RWYS (24R/L) DUE TO MARGINAL VFR VIS (HAZE). S 25L/R RWYS WERE IN SIGHT AND MISTAKEN FOR N ONES. LOC 24R WAS TUNED AND COURSE (CDI) MOVEMENT AND CENTERING WAS NOTED; BUT NOT BEFORE OVERSHOOT TO S COULD BE STOPPED. AN ACR Y ACFT WAS ON APCH TO S COMPLEX (25L/R) AND WAS SEEN AS SOON AS WE REALIZED THE OVERSHOOT. WE PASSED APPROX 500' TO THE N OF THE ACR Y WHILE CORRECTING BACK TO THE N. TWR WAS BUSY WITH 2 OTHER ACFT BUT DID CALL THE POTENTIAL CONFLICT AS WE WERE MAKING THE CORRECTION BACK TO THE N. RWYS 24R/L WERE STILL NOT VISIBLE UNTIL AN INTERCEPT HDG WAS ATTAINED. PROB INITIALLY OCCURRED BECAUSE OF EVEN POORER VISIBILITY TO E WHILE TRYING TO FIND STADIUM FOR BASE LEG TURN. THIS DIVERTED OUR ATTN FROM THE ARPT WHICH WAS IN SIGHT S OF US. WHEN WE STARTED THE BASE TURN; WE WERE AT A LOWER ALT AND SHORT RANGE VISIBILITY TO THE W COUPLED WITH THE OFFSET W OF THE N COMPLEX RWYS 24L/R RESULTED IN THE N RWYS BEING NOT VISIBLE WHILE THE S RWYS (25L/R) WERE.