Twig allows for conditionals and the Request object is available throughout the application. If you are including the template, to get the route you want to use:
app.request.attributes.get('_route')
If you are using the render function, you want to use:
app.request.attributes.get('_internal')
With that, you should be able to use:
class="{% if app.request.attributes.get('_route') == '_list' %}active{% endif %}"
or shorter:
class="{{ app.request.get('_route') == '_list' ? 'active' }}"
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