diff --git a/code/useful_functions.py b/code/useful_functions.py
index 9f56b57..4bd1360 100644
--- a/code/useful_functions.py
+++ b/code/useful_functions.py
@@ -483,9 +483,9 @@ def valid_integrals(integral, local_mean, point, threshold = 0.1):
     """
     valid = integral > (local_mean * (1 + threshold))
     if valid:
-        print(f"The point {point} is valid, as its integral exceeds the threshold.")
+        print(f"The point {point} is valid.")
     else:
-        print(f"The point {point} is not valid, as its integral does not exceed the threshold.")
+        print(f"The point {point} is not valid.")
     return valid
 
 '''TODO Sarah: AM-freq plot: