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In order to make the line item name within the ad server unique, you need to come up with a naming convention that could be by adding the salesforce id or other to the ad spec name or a numbering system. 

2. Set up

Workflow with Field Update (optionally)

1. Go to Setup --> Create --> Workflow & Approvals --> Field Updates> Workflow and create a workflow which executes when created, and every time it's edited.
2. As Object select "Campaign Item"
3. Criteria could be: Created Date NOT EQUAL TO null
4. Add a new Workflow Action
5. Click on "New Field Update"
6. Enter a "Name" e.g. "Auto-Generate ad server name"
7. The "Unique Name" should will be filled out automatically if you hit enter. In case not, enter a unique name e.g. "Auto_Generate_adserver_name"
8. Enter a "Description" and explain  e.g. what the use case of this field update isAs Object select "Campaign Item"
9. As Field to Update select Campaign Item / Adserver Name Name
10. Add Formula similar to this to concatenate ADvendio fields into a "new" name: (Example)
    ADvendio__Ad_Price__r.ADvendio__Ad_Spec__r.Name & "_" &  
    ADvendio__Media_Campaign__r.ADvendio__Account__r.Name & "_" &
    TEXT(ADvendio__from_Date__c) & "_" &  
    Id