custom scope

I am making a mobile view for my calendar page. It will display an agenda.

I want to display the events using three scopes: today, tomorrow, day-after-tomorrow.

day-after-tomorrow needs to be a custom scope. I used the code below. Notice the way I structured the start and end dates:
$start_date = date(‘Y-m-d’,current_time(“+2 day”, current_time(‘timestamp’));
$end_date = date(‘Y-m-d’,strtotime(“+50 day”, current_time(‘timestamp’)));

The output showed results beginning Feb 6 (it is Jan 18) and then random events 6 months out. What do I need to do to fix this?

add_filter( 'em_events_build_sql_conditions', 'my_em_scope_conditions',1,2);
function my_em_scope_conditions($conditions, $args){
    if( !empty($args['scope']) && $args['scope']=='day-after-tomorrow' ){
        $start_date = date('Y-m-d',current_time("+2 day", current_time('timestamp'));
        $end_date = date('Y-m-d',strtotime("+50 day", current_time('timestamp')));
        $conditions['scope'] = " (event_start_date BETWEEN CAST('$start_date' AS DATE) AND CAST('$end_date' AS DATE)) OR (event_end_date BETWEEN CAST('$end_date' AS DATE) AND CAST('$start_date' AS DATE))";
    }
    return $conditions;
}

$conditions['scope'] = " (event_start_date BETWEEN CAST('$start_date' AS DATE) AND CAST('$end_date' AS DATE)) OR (event_end_date BETWEEN CAST('$end_date' AS DATE) AND CAST('$start_date' AS DATE))";

add_filter( 'em_get_scopes','my_em_scopes',1,1);
function my_em_scopes($scopes){
    $my_scopes = array(
        'day-after-tomorrow' => 'Day After Tomorrow'
    );
    return $scopes + $my_scopes;
}

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