It's just overview how you can inherit the search view and put new filter default,

first inherit the search view in which your filter resides like,

<record id="inherited_product_search_form_view" model="ir.ui.view">
            <field name="name">product.search.form.inherit</field>
            <field name="model">product.product</field>
            <field name="type">search</field>
            <field name="inherit_id" ref="product.product_search_form_view"/>
            <field name="arch" type="xml">
                <xpath expr="//filter[string='can be sold']" position= 'replace'><!--need to find the x-path -->
                    <filter string="Default filter" name="new_filter" icon="terp-accessories-archiver-minus" domain="[NEW DOMAIN]"/>
                </xpath>
            </field>
            </record>

then you need to update the action like

<record id="product.product_normal_action_sell" model="ir.actions.act_window">
    <field name="name">Products</field>
    <field name="type">ir.actions.act_window</field>
    <field name="res_model">product.product</field>
    <field name="view_mode">tree,form,kanban</field>
    <field name="view_type">form</field>
    <field name="context">{"search_default_new_filter":1}</field>
    <field name="view_id" ref="product_product_tree_view"/>  
    <field name="search_view_id" ref="product_search_form_view"/>            
    <field name="help">You must define a Product for everything you buy or sell. Products can be raw materials, stockable products, consumables or services. The Product form contains detailed information about your products related to procurement logistics, sales price, product category, suppliers and so on.</field>
</record>

Hope This will help!