Stocks are property that are bought and sold just like the real estate property. Therefore there will be a taxable gain or a loss on the transactions. That federal gain or loss is transferred to your state returns and must be allocated to the state you were in when the gain/loss occurred.
When you check the box to "Omit" the transactions that are losses that means all the gains are still in NJ (tax owed increased) If you "Omit" the transactions that are gains then only the losses remain in NJ (tax owed decreases).
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