What was found
IN FLIGHT AFTER EXITING ICING CONDITION E2 ANTI-ICE FAIL WITH VLV IN OPEN POS, SHOULD HAVE CLOSED. RESET IAW AOM VOL 1 PROC TESTED ANTI-ICE IN ALL E2 ANTI-ICE FAIL MSG. VLV WOULD NOT OPEN. LATER IN FLT E2 ANTI-ICE VLV OPENED UNCOMMANDED WITH ELECTOR IN AUTO, NOT IN ICING COND, STAYED ON 10 MIN THEN CLOSED. DEFERRED IAW MEL 30-11 M PROCEDURES COMPLIED WITH. FOUND E2 EXTERNAL INDICATING HARNESS CHAFED. R & R E2 EXTERNAL INDICATING HARNESS IAW AMM 71-51-01. OPERATIONS CHECKED GOOD IAW RR MM 72-00-00-710-001. OPERATIONS CHECK E2 ANTI-ICE VLV GOOD IAW AMM 30-00-00-700-802. OPERATIONS CHECK E2 ANTI-ICE TRANSDUCER GOOD IAW AMM 30-21-00. PRESS TRANSDUCER PN APS51500 & SN 8176-3-177.