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In the context of the northern hemisphere, the correct statements are:
1. Vernal equinox occurs on March 21: This statement is correct. The vernal equinox, also known as the spring equinox, marks the beginning of spring in the northern hemisphere. It occurs on or around March 21st when day and night are of equal length.
2. Summer solstice occurs on December 21: This statement is incorrect. The summer solstice actually occurs on or around June 21st. It marks the longest day of the year in terms of daylight hours.
3. Autumnal equinox occurs on September 23: This statement is correct. The autumnal equinox, also known as the fall equinox, occurs on or around September 23rd. It marks the beginning of autumn in the northern hemisphere when day and night are of equal length.
4. Winter solstice occurs on June 21: This statement is incorrect. The winter solstice actually occurs on or around December 21st. It marks the shortest day of the year in terms of daylight hours.
Therefore, the correct answer is option 2, which states that statements 1 and 3 are correct.