I'm trying to create a VF page that will allow the sales team to edit multiple opportunity line items at the same time. My work compiles fine, but the save button doesn't actually edit any of the products. Anyone know what I'm doing wrong?

VF:
<apex:page standardController="Opportunity" extensions="OLIController" >
    <apex:form >
        <apex:pageBlock title="Opportunity Products">
            <apex:pageBlockTable var="OLI" value="{!OLIs}" id="newProduct">
                <apex:column value="{!OLI.name}"/>
                <apex:column headerValue="Product Family">
                    <apex:inputfield id="Product_Family__c" value="{!OLI.Product_Family__c}"/>
                </apex:column>
                <apex:column headerValue="Product Included in Sale">
                    <apex:inputfield id="Product_Included_in_Sale__c" value="{!OLI.Product_Included_in_Sale__c}"/>
                </apex:column> 
                <apex:column headerValue="Product Lost Reasons">
                    <apex:inputfield id="Product_Lost_Reasons__c" value="{!OLI.Product_Lost_Reasons__c}"/>
                </apex:column> 
                <apex:column headerValue="Product Gap Reason">
                    <apex:inputfield id="Product_Gap_Reason__c" value="{!OLI.Product_Gap_Reason__c}"/>
                </apex:column> 
                <apex:column headerValue="Competitor">
                    <apex:inputfield id="Competitor__c" value="{!OLI.Competitor__c}"/>
                </apex:column> 
            </apex:pageBlockTable>
            <apex:pageBlockButtons>
                <apex:commandButton value="Save" action="{!saveIt}"/>
            </apex:pageBlockButtons>
        </apex:pageBlock>
    </apex:form>
</apex:page>

Controller:
public with sharing class OLIController {

public ApexPages.StandardController sc;
public Opportunity Opp {get;set;}
public List<OpportunityLineItem> OLIlist2 {get ;set;}

public OLIController(ApexPages.StandardController sc) { 
this.Opp = (Opportunity)sc.getRecord();
OLIlist2 = [Select Name, ID, Product_Family__c, Product_Included_in_Sale__c, Product_Lost_Reasons__c, Product_Gap_Reason__c, Competitor__c, OpportunityId FROM OpportunityLineItem WHERE OpportunityId =:Opp.Id];
}


public List<OpportunityLineItem> getOLIs() {

    List<OpportunityLineItem> OLIlist2 = [Select Name, ID, Product_Family__c, Product_Included_in_Sale__c, Product_Lost_Reasons__c, Product_Gap_Reason__c, Competitor__c, OpportunityId FROM OpportunityLineItem WHERE OpportunityId =:Opp.Id];

    return OLIlist2;

}
public PageReference saveIt() {
   // List<OpportunityLineItem> listOLI = getOLIs();

    update OLIlist2;

    return null;

}
}