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Assuming your mongoDB repository interface is written in Java, you can use the @Query annotation to specify a custom query to execute against the database. You can use the standard MongoDB query syntax to specify the query criteria.

To search based on an int32 value, you can use the syntax:

@Query("{'myField': ?0}")
List<MyObject> findByMyField(int value);

This will generate a MongoDB query that searches for documents where the myField field is equal to the specified value.

You can also use the $gt, $lt, $gte, and $lte operators to search for documents where the field is greater than, less than, greater than or equal to, or less than or equal to a certain value. For example:

@Query("{'myField': {$gt: ?0}}")
List<MyObject> findByMyFieldGreaterThan(int value);

This will generate a MongoDB query that searches for documents where the myField field is greater than the specified value.

Remember to import the org.springframework.data.mongodb.repository.Query annotation.