diff --git a/apparmor.d/groups/freedesktop/update-mime-database b/apparmor.d/groups/freedesktop/update-mime-database
index 6f6b39700..9efd9cccc 100644
--- a/apparmor.d/groups/freedesktop/update-mime-database
+++ b/apparmor.d/groups/freedesktop/update-mime-database
@@ -6,7 +6,7 @@ abi <abi/4.0>,
 
 include <tunables/global>
 
-@{exec_path} = @{sbin}/update-mime-database
+@{exec_path} = @{bin}/update-mime-database
 profile update-mime-database @{exec_path} flags=(attach_disconnected) {
   include <abstractions/base>
   include <abstractions/consoles>
diff --git a/apparmor.d/profiles-s-z/update-ca-certificates b/apparmor.d/profiles-s-z/update-ca-certificates
index 4bc88faae..df9c08fe4 100644
--- a/apparmor.d/profiles-s-z/update-ca-certificates
+++ b/apparmor.d/profiles-s-z/update-ca-certificates
@@ -33,6 +33,7 @@ profile update-ca-certificates @{exec_path} {
   @{bin}/test       rix,
   @{bin}/trust      rix,
   @{bin}/wc         rix,
+  @{bin}/run-parts  rix,
 
   @{lib}/ca-certificates/update.d/ r,
   @{lib}/ca-certificates/update.d/* rix,
diff --git a/apparmor.d/profiles-s-z/update-dlocatedb b/apparmor.d/profiles-s-z/update-dlocatedb
index 2afe8a22f..e9d92e421 100644
--- a/apparmor.d/profiles-s-z/update-dlocatedb
+++ b/apparmor.d/profiles-s-z/update-dlocatedb
@@ -26,7 +26,7 @@ profile update-dlocatedb @{exec_path} {
   /usr/share/dlocate/updatedb rCx -> updatedb,
   @{bin}/dpkg            rPx -> child-dpkg,
 
-  owner @{PROC}/@{pid}/fd/2 w,
+  owner @{PROC}/@{pid}/fd/@{int} w,
 
   /var/lib/dlocate/dpkg-list w,