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Virgin Australia are offering cheap flights to Los Angeles. Dates appear to be August and September (so summer). Fares include bags, meals and seat selection. All flights have 1 small stopover in Australia.
Book cheapest using Skyscanner or directly with Virgin for a bit more. Find the cheapest dates using Google Flights.
ex. Auckland - Skyscanner - Google Flights
ex. Wellington - Skyscanner - Google Flights
ex. Christchurch - Skyscanner - Google Flights
Feb and March 2019 too - same prices and stops etc