Applying 18 million people to an assumed average of three years’ service (allowing for deaths and late enlistments) = nominal 54m man years.
Assume each service person has three people on average writing to them and replies to each letter = (54m x 3 = 162m) x 2 = 324m.
Assume letters are exchanged on average monthly = 324m x 12 = 3.9 billion; fortnightly = 324 x 26 = 8.5 billion; weekly = 16.9 billion.
Letters to front line units will be rarer than to rear and occupation troops. Some men well have fewer and some more than an average number of letters, replies and correspondents. Also there will be letters as part of morale campaigns. So, I’d say anywhere between about 5 and 30 billion items is possible, but I’d guess around 15 billion.