Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_name_25 ( clubs_remaining INTEGER, new_entries_this_round VARCHAR, clubs_involved VARCHAR )

### Question ###
What is the sum of the clubs remaining with 34 new entries this round and more than 34 clubs involved?

### Accurate SQL ###

SELECT SUM(clubs_remaining) FROM table_name_25 WHERE new_entries_this_round = "34" AND clubs_involved > 34