Using get_posts, I need to use a combination of OR & AND relations

Nested arrays can be used to create complex Meta Query’s.

An example of how this would apply to your situation.

$meta_query_args = array(
    'relation' => 'AND', 
    array(
        // Conditions
    ),
    array(
        'relation' => 'OR',
        array(
            // Conditions
        ),
        array(
            // Conditions
        )
    )
);

For more information check: https://codex.wordpress.org/Class_Reference/WP_Meta_Query

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