So you're wanting to remove the second part of "1 year Active, expiring on 10/06/2015" ? That's not possible on a plan by plan basis. Removing it would affect all plan displays. To remove it you need to adjust the following language string found within the below language file.
Code:
"Active, expiring on %s" => "Active, expiring on %s",
components/com_comprofiler/plugin/language/cbpaidsubscriptions-en-gb/language.php
The price display can be adjusted using the "Price display of plan (default: [AUTOMATIC]):" on the Presentation tab of your plans. To get rid of the price display you need to set it to _UE_BLANK.
To remove "Your Current Subscription" I believe you'll need to edit the below language string in the above language file.
Code:
"Your current %s" => "Your current %s",