You can select which accounts should be visible to regular users in My Account by using the toggle in the column Visible in the Chart of Accounts.
If the toggle in the column Visible is switched on (blue), the account will be visible for regular system users and can be selected on expense under My account and in the mobile app.
Users with access to the menu Expenses can select all accounts on expenses regardless of the toggle position in the column Visible.
If you cannot see the column Visible, you can add it to your Chart of Accounts by editing your columns.
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Update the columns Group, Visibility and Type