WASHINGTON—Two big South Korean electric vehicle battery makers said Sunday they have settled a long-running trade dispute that will allow one company to move ahead with plans to manufacture batteries in Georgia. The agreement between LG Energy Solution and SK Innovation ended the need for President Joe Biden to intervene in a case closely watched for its implications on Biden’s clean-energy agenda, which includes a sharp increase the number of electric vehicles as part of his plan to address climate change. Biden had until Sunday night to make a decision, following a ruling in February by a trade commission. The companies said in a joint statement that SK will provide LG Energy with a total of $1.8 billion and an undisclosed royalty. They agreed to withdraw all pending trade disputes in the United States and South Korea and not assert new claims for 10 years. Biden called the settlement “a …